Search a number
-
+
88851072 = 273435381
BaseRepresentation
bin1010100101111…
…00001010000000
320012012002202110
411102330022000
5140221213242
612452215320
72126136012
oct522741200
9205162673
1088851072
1146177142
122590a540
131553bccb
14bb2c1b2
157c0139c
hex54bc280

88851072 has 64 divisors (see below), whose sum is σ = 241544160. Its totient is φ = 28922880.

The previous prime is 88851071. The next prime is 88851073. The reversal of 88851072 is 27015888.

It is an interprime number because it is at equal distance from previous prime (88851071) and next prime (88851073).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 88851072.

It is not an unprimeable number, because it can be changed into a prime (88851071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13822 + ... + 19202.

Almost surely, 288851072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120772080).

88851072 is an abundant number, since it is smaller than the sum of its proper divisors (152693088).

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

88851072 is a wasteful number, since it uses less digits than its factorization.

88851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 88851072 is about 9426.0846590724. The cubic root of 88851072 is about 446.2253347319.

The spelling of 88851072 in words is "eighty-eight million, eight hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5381 5504 8256 10762 16143 16512 21524 32286 43048 64572 86096 129144 172192 231383 258288 344384 462766 516576 688768 694149 925532 1033152 1388298 1851064 2066304 2776596 3702128 5553192 7404256 11106384 14808512 22212768 29617024 44425536 88851072