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3828149304 = 233724375703
BaseRepresentation
bin1110010000101100…
…1110110000111000
3100212210100010121120
43210023032300320
530320001234204
61431510305240
7163602506100
oct34413166070
910783303546
103828149304
111694988261
128aa058220
13490141c05
142845bc200
1517612b6d9
hexe42cec38

3828149304 has 96 divisors (see below), whose sum is σ = 11391937920. Its totient is φ = 1068306624.

The previous prime is 3828149293. The next prime is 3828149309. The reversal of 3828149304 is 4039418283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828149309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12717 + ... + 88419.

It is an arithmetic number, because the mean of its divisors is an integer number (118666020).

Almost surely, 23828149304 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 3828149304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695968960).

3828149304 is an abundant number, since it is smaller than the sum of its proper divisors (7563788616).

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

3828149304 is a wasteful number, since it uses less digits than its factorization.

3828149304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75769 (or 75758 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3828149304 is about 61872.0397594907. The cubic root of 3828149304 is about 1564.3344969539.

The spelling of 3828149304 in words is "three billion, eight hundred twenty-eight million, one hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8428 12642 16856 25284 50568 75703 151406 227109 302812 454218 529921 605624 908436 1059842 1589763 1816872 2119684 3179526 3255229 3709447 4239368 6359052 6510458 7418894 9765687 11128341 12718104 13020916 14837788 19531374 22256682 22786603 26041832 29675576 39062748 44513364 45573206 68359809 78125496 89026728 91146412 136719618 159506221 182292824 273439236 319012442 478518663 546878472 638024884 957037326 1276049768 1914074652 3828149304