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92906496 = 2103217593
BaseRepresentation
bin1011000100110…
…10010000000000
320110211010202100
411202122100000
5142241001441
613115150400
72205456264
oct542322000
9213733670
1092906496
1148497031
1227145400
131632bb77
14c4a60a4
158252cb6
hex589a400

92906496 has 132 divisors (see below), whose sum is σ = 284524812. Its totient is φ = 29097984.

The previous prime is 92906461. The next prime is 92906501. The reversal of 92906496 is 69460929.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 27878400 = 8064^2 + 5280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156376 + ... + 156968.

It is an arithmetic number, because the mean of its divisors is an integer number (2155491).

Almost surely, 292906496 is an apocalyptic number.

92906496 is a gapful number since it is divisible by the number (96) 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 92906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142262406).

92906496 is an abundant number, since it is smaller than the sum of its proper divisors (191618316).

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

92906496 is a wasteful number, since it uses less digits than its factorization.

92906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 92906496 is about 9638.8015852594. The cubic root of 92906496 is about 452.9135984214.

The spelling of 92906496 in words is "ninety-two million, nine hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 593 612 768 816 1024 1088 1152 1186 1224 1536 1632 1779 2176 2304 2372 2448 3072 3264 3558 4352 4608 4744 4896 5337 6528 7116 8704 9216 9488 9792 10081 10674 13056 14232 17408 18976 19584 20162 21348 26112 28464 30243 37952 39168 40324 42696 52224 56928 60486 75904 78336 80648 85392 90729 113856 120972 151808 156672 161296 170784 181458 227712 241944 303616 322592 341568 362916 455424 483888 607232 645184 683136 725832 910848 967776 1290368 1366272 1451664 1821696 1935552 2580736 2732544 2903328 3871104 5161472 5465088 5806656 7742208 10322944 11613312 15484416 23226624 30968832 46453248 92906496