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3828147408 = 243232298233
BaseRepresentation
bin1110010000101100…
…1110010011010000
3100212210100001000100
43210023032103100
530320001204113
61431510252400
7163602500421
oct34413162320
910783301010
103828147408
111694986898
128aa057100
134901410a7
142845bb648
1517612ad73
hexe42ce4d0

3828147408 has 60 divisors (see below), whose sum is σ = 10718115460. Its totient is φ = 1275499008.

The previous prime is 3828147373. The next prime is 3828147413. The reversal of 3828147408 is 8047418283.

It can be written as a sum of positive squares in 2 ways, for example, as 939299904 + 2888847504 = 30648^2 + 53748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460860 + ... + 469092.

Almost surely, 23828147408 is an apocalyptic number.

It is an amenable number.

3828147408 is an abundant number, since it is smaller than the sum of its proper divisors (6889968052).

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

3828147408 is a wasteful number, since it uses less digits than its factorization.

3828147408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3828147408 is about 61872.0244375437. The cubic root of 3828147408 is about 1564.3342386935.

The spelling of 3828147408 in words is "three billion, eight hundred twenty-eight million, one hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3229 6458 8233 9687 12916 16466 19374 24699 25832 29061 32932 38748 49398 51664 58122 65864 74097 77496 98796 116244 131728 148194 154992 197592 232488 296388 395184 464976 592776 1185552 26584357 53168714 79753071 106337428 159506142 212674856 239259213 319012284 425349712 478518426 638024568 957036852 1276049136 1914073704 3828147408