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81496368 = 243717137
BaseRepresentation
bin1001101101110…
…00100100110000
312200100110000000
410312320210300
5131330340433
612030430000
72006464512
oct466704460
9180313000
1081496368
1142003478
1223362300
1313b65505
14ab75bb2
15724c113
hex4db8930

81496368 has 160 divisors (see below), whose sum is σ = 252573120. Its totient is φ = 25380864.

The previous prime is 81496343. The next prime is 81496403. The reversal of 81496368 is 86369418.

81496368 is a `hidden beast` number, since 8 + 1 + 4 + 9 + 636 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594796 + ... + 594932.

It is an arithmetic number, because the mean of its divisors is an integer number (1578582).

Almost surely, 281496368 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 81496368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126286560).

81496368 is an abundant number, since it is smaller than the sum of its proper divisors (171076752).

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

81496368 is a wasteful number, since it uses less digits than its factorization.

81496368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 81496368 is about 9027.5338825174. The cubic root of 81496368 is about 433.5568824197.

The spelling of 81496368 in words is "eighty-one million, four hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 137 144 153 162 204 216 243 272 274 306 324 408 411 432 459 486 548 612 648 729 816 822 918 972 1096 1224 1233 1296 1377 1458 1644 1836 1944 2187 2192 2329 2448 2466 2754 2916 3288 3672 3699 3888 4131 4374 4658 4932 5508 5832 6576 6987 7344 7398 8262 8748 9316 9864 11016 11097 11664 12393 13974 14796 16524 17496 18632 19728 20961 22032 22194 24786 27948 29592 33048 33291 34992 37179 37264 41922 44388 49572 55896 59184 62883 66096 66582 74358 83844 88776 99144 99873 111792 125766 133164 148716 167688 177552 188649 198288 199746 251532 266328 297432 299619 335376 377298 399492 503064 532656 565947 594864 599238 754596 798984 1006128 1131894 1198476 1509192 1597968 1697841 2263788 2396952 3018384 3395682 4527576 4793904 5093523 6791364 9055152 10187046 13582728 20374092 27165456 40748184 81496368