Search a number
-
+
93536064 = 2632162389
BaseRepresentation
bin1011001001100…
…11111101000000
320112000010100200
411210303331000
5142421123224
613140445200
72214020616
oct544637500
9215003320
1093536064
1148887036
12273a9800
13164bc5ab
14c5cb6b6
1583295c9
hex5933f40

93536064 has 42 divisors (see below), whose sum is σ = 268105890. Its totient is φ = 31178496.

The previous prime is 93536059. The next prime is 93536071. The reversal of 93536064 is 46063539.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 19713600 = 8592^2 + 4440^2 .

It is a super-2 number, since 2×935360642 = 17497990537224192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80619 + ... + 81770.

Almost surely, 293536064 is an apocalyptic number.

It is an amenable number.

93536064 is an abundant number, since it is smaller than the sum of its proper divisors (174569826).

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

93536064 is a wasteful number, since it uses less digits than its factorization.

93536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162407 (or 162394 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 93536064 is about 9671.4044481657. The cubic root of 93536064 is about 453.9343316820.

The spelling of 93536064 in words is "ninety-three million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 162389 324778 487167 649556 974334 1299112 1461501 1948668 2598224 2923002 3897336 5196448 5846004 7794672 10392896 11692008 15589344 23384016 31178688 46768032 93536064