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42328096 = 2517223199
BaseRepresentation
bin1010000101111…
…0000000100000
32221122111020021
42201132000200
541313444341
64111123224
71022532346
oct241360040
987574207
1042328096
11219907a8
1212213514
138a00415
14589b996
153ab19d1
hex285e020

42328096 has 72 divisors (see below), whose sum is σ = 92836800. Its totient is φ = 18957312.

The previous prime is 42328057. The next prime is 42328109. The reversal of 42328096 is 69082324.

It is a hoax number, since the sum of its digits (34) 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 (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212605 + ... + 212803.

It is an arithmetic number, because the mean of its divisors is an integer number (1289400).

Almost surely, 242328096 is an apocalyptic number.

42328096 is a gapful number since it is divisible by the number (46) 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 42328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46418400).

42328096 is an abundant number, since it is smaller than the sum of its proper divisors (50508704).

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

42328096 is a wasteful number, since it uses less digits than its factorization.

42328096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 42328096 is about 6506.0046111266. The cubic root of 42328096 is about 348.5054530180.

The spelling of 42328096 in words is "forty-two million, three hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 199 272 289 368 391 398 544 578 736 782 796 1156 1564 1592 2312 3128 3184 3383 4577 4624 6256 6368 6647 6766 9154 9248 12512 13294 13532 18308 26588 27064 36616 53176 54128 57511 73232 77809 106352 108256 115022 146464 155618 212704 230044 311236 460088 622472 920176 1244944 1322753 1840352 2489888 2645506 5291012 10582024 21164048 42328096