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42272784 = 2432436827
BaseRepresentation
bin1010000101000…
…0100000010000
32221112200100200
42201100200100
541310212114
64110015200
71022212161
oct241204020
987480320
1042272784
1121953194
12121a7500
1389b11a8
145885768
153aa0409
hex2850810

42272784 has 60 divisors (see below), whose sum is σ = 121074096. Its totient is φ = 13761216.

The previous prime is 42272771. The next prime is 42272801. The reversal of 42272784 is 48727224.

It is a super-2 number, since 2×422727842 = 3573976534221312, which contains 22 as substring.

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

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, 2779 + ... + 9605.

Almost surely, 242272784 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 42272784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60537048).

42272784 is an abundant number, since it is smaller than the sum of its proper divisors (78801312).

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

42272784 is a wasteful number, since it uses less digits than its factorization.

42272784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6875 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42272784 is about 6501.7523791667. The cubic root of 42272784 is about 348.3535843378.

The spelling of 42272784 in words is "forty-two million, two hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 6827 13654 20481 27308 40962 54616 61443 81924 109232 122886 163848 245772 293561 327696 491544 587122 880683 983088 1174244 1761366 2348488 2642049 3522732 4696976 5284098 7045464 10568196 14090928 21136392 42272784