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6026228832 = 2531310147809
BaseRepresentation
bin1011001110011000…
…01111010001100000
3120112222102010212110
411213030033101200
544320203310312
62433550555320
7302223046161
oct54714172140
916488363773
106026228832
112612715a08
121202208b40
137506503a0
144124b9768
152540b943c
hex16730f460

6026228832 has 96 divisors (see below), whose sum is σ = 17204715360. Its totient is φ = 1835827200.

The previous prime is 6026228821. The next prime is 6026228837. The reversal of 6026228832 is 2388226206.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6026228837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102144 + ... + 149952.

It is an arithmetic number, because the mean of its divisors is an integer number (179215785).

Almost surely, 26026228832 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 6026228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602357680).

6026228832 is an abundant number, since it is smaller than the sum of its proper divisors (11178486528).

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

6026228832 is a wasteful number, since it uses less digits than its factorization.

6026228832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47936 (or 47928 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6026228832 is about 77628.7886804889. The cubic root of 6026228832 is about 1819.7645744668.

The spelling of 6026228832 in words is "six billion, twenty-six million, two hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 202 208 303 312 404 416 606 624 808 1212 1248 1313 1616 2424 2626 3232 3939 4848 5252 7878 9696 10504 15756 21008 31512 42016 47809 63024 95618 126048 143427 191236 286854 382472 573708 621517 764944 1147416 1243034 1529888 1864551 2294832 2486068 3729102 4589664 4828709 4972136 7458204 9657418 9944272 14486127 14916408 19314836 19888544 28972254 29832816 38629672 57944508 59665632 62773217 77259344 115889016 125546434 154518688 188319651 231778032 251092868 376639302 463556064 502185736 753278604 1004371472 1506557208 2008742944 3013114416 6026228832