Search a number
-
+
87702048 = 2533717853
BaseRepresentation
bin1010011101000…
…11101000100000
320010000201121000
411032203220200
5134422431143
612411432000
72113312050
oct516435040
9203021530
1087702048
1145561935
1225455600
1315229005
14b90d560
157a75bd3
hex53a3a20

87702048 has 192 divisors, whose sum is σ = 309899520. Its totient is φ = 23556096.

The previous prime is 87702029. The next prime is 87702049. The reversal of 87702048 is 84020778.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87702049) 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 31 ways as a sum of consecutive naturals, for example, 102390 + ... + 103242.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 287702048 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 87702048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

87702048 is an abundant number, since it is smaller than the sum of its proper divisors (222197472).

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

87702048 is a wasteful number, since it uses less digits than its factorization.

87702048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87702048 is about 9364.9371594261. The cubic root of 87702048 is about 444.2934510043.

The spelling of 87702048 in words is "eighty-seven million, seven hundred two thousand, forty-eight".