Search a number
-
+
88000000 = 295611
BaseRepresentation
bin1010011111011…
…00011000000000
320010120212022021
411033230120000
5140012000000
612422051224
72115662524
oct517543000
9203525267
1088000000
1145745780
1225579b14
131530180a
14b989d84
157ad411a
hex53ec600

88000000 has 140 divisors (see below), whose sum is σ = 239762556. Its totient is φ = 32000000.

The previous prime is 87999997. The next prime is 88000009. The reversal of 88000000 is 88.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999995 + ... + 8000005.

Almost surely, 288000000 is an apocalyptic number.

88000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119881278).

88000000 is an abundant number, since it is smaller than the sum of its proper divisors (151762556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88000000 is an frugal number, since it uses more digits than its factorization.

88000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 88000000 is about 9380.8315196469. The cubic root of 88000000 is about 444.7960181139.

Adding to 88000000 its reverse (88), we get a palindrome (88000088).

Multiplying 88000000 by its reverse (88), we get a square (7744000000 = 880002).

88000000 divided by its reverse (88) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 8 and 8000000, that multiplied together give a 6-th power (64000000 = 206).

The spelling of 88000000 in words is "eighty-eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 625 640 704 800 880 1000 1100 1250 1280 1375 1408 1600 1760 2000 2200 2500 2560 2750 2816 3125 3200 3520 4000 4400 5000 5500 5632 6250 6400 6875 7040 8000 8800 10000 11000 12500 12800 13750 14080 15625 16000 17600 20000 22000 25000 27500 28160 31250 32000 34375 35200 40000 44000 50000 55000 62500 64000 68750 70400 80000 88000 100000 110000 125000 137500 140800 160000 171875 176000 200000 220000 250000 275000 320000 343750 352000 400000 440000 500000 550000 687500 704000 800000 880000 1000000 1100000 1375000 1600000 1760000 2000000 2200000 2750000 3520000 4000000 4400000 5500000 8000000 8800000 11000000 17600000 22000000 44000000 88000000