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42975296 = 2671347157
BaseRepresentation
bin1010001111110…
…0000001000000
32222212101000122
42203330001000
542000202141
64133035412
71031166260
oct243740100
988771018
1042975296
1122292a81
1212485b68
138b98b90
1459c97a0
153b8d64b
hex28fc040

42975296 has 112 divisors (see below), whose sum is σ = 107874816. Its totient is φ = 16533504.

The previous prime is 42975287. The next prime is 42975301. The reversal of 42975296 is 69257924.

It is a tau number, because it is divible by the number of its divisors (112).

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, 273650 + ... + 273806.

It is an arithmetic number, because the mean of its divisors is an integer number (963168).

Almost surely, 242975296 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 42975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53937408).

42975296 is an abundant number, since it is smaller than the sum of its proper divisors (64899520).

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

42975296 is a wasteful number, since it uses less digits than its factorization.

42975296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 42975296 is about 6555.5545913370. The cubic root of 42975296 is about 350.2727017555.

The spelling of 42975296 in words is "forty-two million, nine hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 91 94 104 112 157 182 188 208 224 314 329 364 376 416 448 611 628 658 728 752 832 1099 1222 1256 1316 1456 1504 2041 2198 2444 2512 2632 2912 3008 4082 4277 4396 4888 5024 5264 5824 7379 8164 8554 8792 9776 10048 10528 14287 14758 16328 17108 17584 19552 21056 28574 29516 32656 34216 35168 39104 51653 57148 59032 65312 68432 70336 95927 103306 114296 118064 130624 136864 191854 206612 228592 236128 273728 383708 413224 457184 472256 671489 767416 826448 914368 1342978 1534832 1652896 2685956 3069664 3305792 5371912 6139328 10743824 21487648 42975296