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872291472 = 243132293367
BaseRepresentation
bin110011111111100…
…001110010010000
32020210100222221120
4303333201302100
53241301311342
6222320122240
730421232553
oct6377416220
92223328846
10872291472
11408427548
12204166380
1310b944700
1483bc669a
15518a6aec
hex33fe1c90

872291472 has 120 divisors (see below), whose sum is σ = 2455092864. Its totient is φ = 266752512.

The previous prime is 872291443. The next prime is 872291477. The reversal of 872291472 is 274192278.

It is not an unprimeable number, because it can be changed into a prime (872291477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376633 + ... + 2376999.

Almost surely, 2872291472 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 872291472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227546432).

872291472 is an abundant number, since it is smaller than the sum of its proper divisors (1582801392).

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

872291472 is a wasteful number, since it uses less digits than its factorization.

872291472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 872291472 is about 29534.5809518266. The cubic root of 872291472 is about 955.4776708188.

The spelling of 872291472 in words is "eight hundred seventy-two million, two hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 293 312 338 367 507 586 624 676 734 879 1014 1101 1172 1352 1468 1758 2028 2202 2344 2704 2936 3516 3809 4056 4404 4688 4771 5872 7032 7618 8112 8808 9542 11427 14064 14313 15236 17616 19084 22854 28626 30472 38168 45708 49517 57252 60944 62023 76336 91416 99034 107531 114504 124046 148551 182832 186069 198068 215062 229008 248092 297102 322593 372138 396136 430124 496184 594204 645186 744276 792272 860248 992368 1188408 1290372 1397903 1488552 1720496 2376816 2580744 2795806 2977104 4193709 5161488 5591612 8387418 11183224 16774836 18172739 22366448 33549672 36345478 54518217 67099344 72690956 109036434 145381912 218072868 290763824 436145736 872291472