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81471888 = 243217231447
BaseRepresentation
bin1001101101100…
…10100110010000
312200022012102100
410312302212100
5131324100023
612030120400
72006333241
oct466624620
9180265370
1081471888
1141a97043
1223350100
1313b57324
14ab6acc8
157244c43
hex4db2990

81471888 has 120 divisors (see below), whose sum is σ = 252091008. Its totient is φ = 24431616.

The previous prime is 81471883. The next prime is 81471893. The reversal of 81471888 is 88817418.

It is an interprime number because it is at equal distance from previous prime (81471883) and next prime (81471893).

It is not an unprimeable number, because it can be changed into a prime (81471883) 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, 55581 + ... + 57027.

Almost surely, 281471888 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 81471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126045504).

81471888 is an abundant number, since it is smaller than the sum of its proper divisors (170619120).

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

81471888 is a wasteful number, since it uses less digits than its factorization.

81471888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 81471888 is about 9026.1779286695. The cubic root of 81471888 is about 433.5134672524.

It can be divided in two parts, 81 and 471888, that added together give a square (471969 = 6872).

The spelling of 81471888 in words is "eighty-one million, four hundred seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 102 136 138 144 153 184 204 207 272 276 306 368 391 408 414 552 612 782 816 828 1104 1173 1224 1447 1564 1656 2346 2448 2894 3128 3312 3519 4341 4692 5788 6256 7038 8682 9384 11576 13023 14076 17364 18768 23152 24599 26046 28152 33281 34728 49198 52092 56304 66562 69456 73797 98396 99843 104184 133124 147594 196792 199686 208368 221391 266248 295188 299529 393584 399372 442782 532496 565777 590376 599058 798744 885564 1131554 1180752 1198116 1597488 1697331 1771128 2263108 2396232 3394662 3542256 4526216 4792464 5091993 6789324 9052432 10183986 13578648 20367972 27157296 40735944 81471888