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81557168 = 247411193
BaseRepresentation
bin1001101110001…
…11011010110000
312200110112101212
410313013122300
5131334312133
612032015252
72010140000
oct467073260
9180415355
1081557168
1142045120
1223391528
1313b870a4
14ab90000
157260148
hex4dc76b0

81557168 has 100 divisors (see below), whose sum is σ = 202142568. Its totient is φ = 31610880.

The previous prime is 81557129. The next prime is 81557207. The reversal of 81557168 is 86175518.

It is an interprime number because it is at equal distance from previous prime (81557129) and next prime (81557207).

Its product of digits (67200) is a multiple of the sum of its prime factors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422480 + ... + 422672.

Almost surely, 281557168 is an apocalyptic number.

81557168 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 81557168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101071284).

81557168 is an abundant number, since it is smaller than the sum of its proper divisors (120585400).

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

81557168 is a wasteful number, since it uses less digits than its factorization.

81557168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its digits is 67200, while the sum is 41.

The square root of 81557168 is about 9030.9007302705. The cubic root of 81557168 is about 433.6646733414.

The spelling of 81557168 in words is "eighty-one million, five hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 193 196 308 343 386 392 539 616 686 772 784 1078 1232 1351 1372 1544 2123 2156 2401 2702 2744 3088 3773 4246 4312 4802 5404 5488 7546 8492 8624 9457 9604 10808 14861 15092 16984 18914 19208 21616 26411 29722 30184 33968 37828 38416 52822 59444 60368 66199 75656 104027 105644 118888 132398 151312 208054 211288 237776 264796 416108 422576 463393 529592 728189 832216 926786 1059184 1456378 1664432 1853572 2912756 3707144 5097323 5825512 7414288 10194646 11651024 20389292 40778584 81557168