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4094278272 = 27337169241
BaseRepresentation
bin1111010000001001…
…1011101010000000
3101120100002212221000
43310002123222000
531341113401042
61514134332000
7203313535230
oct36402335200
911510085830
104094278272
111811127957
129631ba000
13503310a86
142aba95cc0
1518e69974c
hexf409ba80

4094278272 has 128 divisors (see below), whose sum is σ = 13810147200. Its totient is φ = 1169786880.

The previous prime is 4094278267. The next prime is 4094278301. The reversal of 4094278272 is 2728724904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40942782722 = 33526229137142611968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60429 + ... + 108812.

It is an arithmetic number, because the mean of its divisors is an integer number (107891775).

Almost surely, 24094278272 is an apocalyptic number.

4094278272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4094278272 is an abundant number, since it is smaller than the sum of its proper divisors (9715868928).

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

4094278272 is a wasteful number, since it uses less digits than its factorization.

4094278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169271 (or 169253 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4094278272 is about 63986.5475861919. The cubic root of 4094278272 is about 1599.7757852480.

The spelling of 4094278272 in words is "four billion, ninety-four million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 169241 338482 507723 676964 1015446 1184687 1353928 1523169 2030892 2369374 2707856 3046338 3554061 4061784 4569507 4738748 5415712 6092676 7108122 8123568 9139014 9477496 10662183 10831424 12185352 14216244 16247136 18278028 18954992 21324366 21662848 24370704 28432488 31986549 32494272 36556056 37909984 42648732 48741408 56864976 63973098 64988544 73112112 75819968 85297464 97482816 113729952 127946196 146224224 151639936 170594928 194965632 227459904 255892392 292448448 341189856 454919808 511784784 584896896 682379712 1023569568 1364759424 2047139136 4094278272