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42314272 = 25711131321
BaseRepresentation
bin1010000101101…
…0101000100000
32221121210021021
42201122220200
541313024042
64110535224
71022444140
oct241325040
987553237
1042314272
1121981380
1212207514
1389c7040
145896920
153aac867
hex285aa20

42314272 has 96 divisors (see below), whose sum is σ = 111936384. Its totient is φ = 15206400.

The previous prime is 42314267. The next prime is 42314281. The reversal of 42314272 is 27241324.

It is a happy number.

It is a super-2 number, since 2×423142722 = 3580995229779968, 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, 31372 + ... + 32692.

It is an arithmetic number, because the mean of its divisors is an integer number (1166004).

Almost surely, 242314272 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 42314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55968192).

42314272 is an abundant number, since it is smaller than the sum of its proper divisors (69622112).

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

42314272 is a wasteful number, since it uses less digits than its factorization.

42314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 42314272 is about 6504.9421211876. The cubic root of 42314272 is about 348.4675092375.

Adding to 42314272 its reverse (27241324), we get a palindrome (69555596).

The spelling of 42314272 in words is "forty-two million, three hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1321 1456 2002 2288 2464 2642 2912 4004 4576 5284 8008 9247 10568 14531 16016 17173 18494 21136 29062 32032 34346 36988 42272 58124 68692 73976 101717 116248 120211 137384 147952 188903 203434 232496 240422 274768 295904 377806 406868 464992 480844 549536 755612 813736 961688 1322321 1511224 1627472 1923376 2644642 3022448 3254944 3846752 5289284 6044896 10578568 21157136 42314272