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81517488 = 243133773
BaseRepresentation
bin1001101101111…
…01101110110000
312200101111222020
410312331232300
5131332024423
612031111440
72006613213
oct466755660
9180344866
1081517488
1142018328
1223372580
1313b72000
14ab7d77a
1572534e3
hex4dbdbb0

81517488 has 80 divisors (see below), whose sum is σ = 228422880. Its totient is φ = 25049856.

The previous prime is 81517487. The next prime is 81517489. The reversal of 81517488 is 88471518.

It is an interprime number because it is at equal distance from previous prime (81517487) and next prime (81517489).

It is not an unprimeable number, because it can be changed into a prime (81517481) 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, 105070 + ... + 105842.

It is an arithmetic number, because the mean of its divisors is an integer number (2855286).

Almost surely, 281517488 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 81517488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211440).

81517488 is an abundant number, since it is smaller than the sum of its proper divisors (146905392).

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

81517488 is a wasteful number, since it uses less digits than its factorization.

81517488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 791 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 81517488 is about 9028.7035614201. The cubic root of 81517488 is about 433.5943316570.

The spelling of 81517488 in words is "eighty-one million, five hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 773 1014 1352 1546 2028 2197 2319 2704 3092 4056 4394 4638 6184 6591 8112 8788 9276 10049 12368 13182 17576 18552 20098 26364 30147 35152 37104 40196 52728 60294 80392 105456 120588 130637 160784 241176 261274 391911 482352 522548 783822 1045096 1567644 1698281 2090192 3135288 3396562 5094843 6270576 6793124 10189686 13586248 20379372 27172496 40758744 81517488