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3793898320 = 245298231987
BaseRepresentation
bin1110001000100010…
…0100101101010000
3100210101220000002121
43202020210231100
530232214221240
61424244224024
7163005414022
oct34210445520
910711800077
103793898320
111677613a63
1289a69b014
1348600c064
1427dc24012
1517311304a
hexe2224b50

3793898320 has 80 divisors (see below), whose sum is σ = 9140664960. Its totient is φ = 1462712832.

The previous prime is 3793898281. The next prime is 3793898357. The reversal of 3793898320 is 238983973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908367 + ... + 1910353.

It is an arithmetic number, because the mean of its divisors is an integer number (114258312).

Almost surely, 23793898320 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 3793898320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570332480).

3793898320 is an abundant number, since it is smaller than the sum of its proper divisors (5346766640).

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

3793898320 is a wasteful number, since it uses less digits than its factorization.

3793898320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 3793898320 is about 61594.6289866251. The cubic root of 3793898320 is about 1559.6550738607.

The spelling of 3793898320 in words is "three billion, seven hundred ninety-three million, eight hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 823 1160 1646 1987 2320 3292 3974 4115 6584 7948 8230 9935 13168 15896 16460 19870 23867 31792 32920 39740 47734 57623 65840 79480 95468 115246 119335 158960 190936 230492 238670 288115 381872 460984 477340 576230 921968 954680 1152460 1635301 1909360 2304920 3270602 4609840 6541204 8176505 13082408 16353010 26164816 32706020 47423729 65412040 94847458 130824080 189694916 237118645 379389832 474237290 758779664 948474580 1896949160 3793898320