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872253888 = 263112571607
BaseRepresentation
bin110011111111011…
…000100111000000
32020210022002101120
4303333120213000
53241244111023
6222315232240
730421015152
oct6377304700
92223262346
10872253888
11408401290
12204148680
1310b93057c
1483bb6ad2
155189a8e3
hex33fd89c0

872253888 has 112 divisors (see below), whose sum is σ = 2529010944. Its totient is φ = 263127040.

The previous prime is 872253883. The next prime is 872253911. The reversal of 872253888 is 888352278.

It is a super-2 number, since 2×8722538882 = 1521653690262233088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872253888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872253883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541981 + ... + 543587.

Almost surely, 2872253888 is an apocalyptic number.

872253888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264505472).

872253888 is an abundant number, since it is smaller than the sum of its proper divisors (1656757056).

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

872253888 is a wasteful number, since it uses less digits than its factorization.

872253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 872253888 is about 29533.9446738833. The cubic root of 872253888 is about 955.4639478873.

The spelling of 872253888 in words is "eight hundred seventy-two million, two hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 257 264 352 514 528 704 771 1028 1056 1542 1607 2056 2112 2827 3084 3214 4112 4821 5654 6168 6428 8224 8481 9642 11308 12336 12856 16448 16962 17677 19284 22616 24672 25712 33924 35354 38568 45232 49344 51424 53031 67848 70708 77136 90464 102848 106062 135696 141416 154272 180928 212124 271392 282832 308544 412999 424248 542784 565664 825998 848496 1131328 1238997 1651996 1696992 2477994 3303992 3393984 4542989 4955988 6607984 9085978 9911976 13215968 13628967 18171956 19823952 26431936 27257934 36343912 39647904 54515868 72687824 79295808 109031736 145375648 218063472 290751296 436126944 872253888