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42375696 = 24311174721
BaseRepresentation
bin1010000110100…
…1101000010000
32221201220112020
42201221220100
541322010241
64112131440
71023121206
oct241515020
987656466
1042375696
1121a13540
1212236b80
138a18c9c
1458b1076
153ac0b66
hex2869a10

42375696 has 80 divisors (see below), whose sum is σ = 126474048. Its totient is φ = 12083200.

The previous prime is 42375689. The next prime is 42375701. The reversal of 42375696 is 69657324.

It is a super-2 number, since 2×423756962 = 3591399222968832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6616 + ... + 11336.

Almost surely, 242375696 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 42375696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63237024).

42375696 is an abundant number, since it is smaller than the sum of its proper divisors (84098352).

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

42375696 is a wasteful number, since it uses less digits than its factorization.

42375696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4754 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 42375696 is about 6509.6617423642. The cubic root of 42375696 is about 348.6360411827.

It can be divided in two parts, 42375 and 696, that added together give a triangular number (43071 = T293).

The spelling of 42375696 in words is "forty-two million, three hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 4721 8976 9442 14163 18884 28326 37768 51931 56652 75536 80257 103862 113304 155793 160514 207724 226608 240771 311586 321028 415448 481542 623172 642056 830896 882827 963084 1246344 1284112 1765654 1926168 2492688 2648481 3531308 3852336 5296962 7062616 10593924 14125232 21187848 42375696