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5428233792 = 26344722279
BaseRepresentation
bin1010000111000110…
…00100011001000000
3112000022011211220000
411003203010121000
542104111440132
62254345520000
7251342140332
oct50343043100
915008154800
105428233792
112336107433
121075aa3000
136867a7277
14396cd5452
1521b84587c
hex1438c4640

5428233792 has 140 divisors (see below), whose sum is σ = 16434084480. Its totient is φ = 1770833664.

The previous prime is 5428233737. The next prime is 5428233821. The reversal of 5428233792 is 2973328245.

5428233792 is a `hidden beast` number, since 542 + 8 + 2 + 33 + 79 + 2 = 666.

It is a super-2 number, since 2×54282337922 = 58931444201221398528, which contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 232509 + ... + 254787.

Almost surely, 25428233792 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 5428233792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8217042240).

5428233792 is an abundant number, since it is smaller than the sum of its proper divisors (11005850688).

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

5428233792 is a wasteful number, since it uses less digits than its factorization.

5428233792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22331 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5428233792 is about 73676.5484533579. The cubic root of 5428233792 is about 1757.4629630803.

The spelling of 5428233792 in words is "five billion, four hundred twenty-eight million, two hundred thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 188 192 216 282 288 324 376 423 432 564 576 648 752 846 864 1128 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3807 4512 5076 5184 6768 7614 9024 10152 13536 15228 20304 22279 27072 30456 40608 44558 60912 66837 81216 89116 121824 133674 178232 200511 243648 267348 356464 401022 534696 601533 712928 802044 1047113 1069392 1203066 1425856 1604088 1804599 2094226 2138784 2406132 3141339 3208176 3609198 4188452 4277568 4812264 6282678 6416352 7218396 8376904 9424017 9624528 12565356 12832704 14436792 16753808 18848034 19249056 25130712 28272051 28873584 33507616 37696068 38498112 50261424 56544102 57747168 67015232 75392136 84816153 100522848 113088204 115494336 150784272 169632306 201045696 226176408 301568544 339264612 452352816 603137088 678529224 904705632 1357058448 1809411264 2714116896 5428233792