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76854096 = 243611599
BaseRepresentation
bin1001001010010…
…11001101010000
312100121121000000
410211023031100
5124133312341
611343130000
71622151264
oct445131520
9170547000
1076854096
113a422690
12218a3900
1312bcb4c7
14a2c80a4
156b318b6
hex494b350

76854096 has 140 divisors (see below), whose sum is σ = 243957600. Its totient is φ = 23250240.

The previous prime is 76854079. The next prime is 76854097. The reversal of 76854096 is 69045867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76854097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128005 + ... + 128603.

Almost surely, 276854096 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 76854096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121978800).

76854096 is an abundant number, since it is smaller than the sum of its proper divisors (167103504).

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

76854096 is a wasteful number, since it uses less digits than its factorization.

76854096 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76854096 is about 8766.6467933869. The cubic root of 76854096 is about 425.1632056003.

It can be divided in two parts, 7685 and 4096, that added together give a triangular number (11781 = T153).

The spelling of 76854096 in words is "seventy-six million, eight hundred fifty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 599 648 729 792 891 972 1188 1198 1296 1458 1584 1782 1797 1944 2376 2396 2673 2916 3564 3594 3888 4752 4792 5346 5391 5832 6589 7128 7188 8019 9584 10692 10782 11664 13178 14256 14376 16038 16173 19767 21384 21564 26356 28752 32076 32346 39534 42768 43128 48519 52712 59301 64152 64692 79068 86256 97038 105424 118602 128304 129384 145557 158136 177903 194076 237204 258768 291114 316272 355806 388152 436671 474408 533709 582228 711612 776304 873342 948816 1067418 1164456 1423224 1601127 1746684 2134836 2328912 2846448 3202254 3493368 4269672 4803381 6404508 6986736 8539344 9606762 12809016 19213524 25618032 38427048 76854096