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389578080 = 25351395839
BaseRepresentation
bin10111001110000…
…111110101100000
31000011001121122210
4113032013311200
51244212444310
6102354002120
712440234103
oct2716076540
91004047583
10389578080
1118a9a7861
12aa576340
1362932998
1439a5073a
1524305820
hex17387d60

389578080 has 96 divisors (see below), whose sum is σ = 1236211200. Its totient is φ = 103122432.

The previous prime is 389578061. The next prime is 389578087. The reversal of 389578080 is 80875983.

It is a happy number.

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 (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389578087) 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, 63801 + ... + 69639.

It is an arithmetic number, because the mean of its divisors is an integer number (12877200).

Almost surely, 2389578080 is an apocalyptic number.

389578080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105600).

389578080 is an abundant number, since it is smaller than the sum of its proper divisors (846633120).

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

389578080 is a wasteful number, since it uses less digits than its factorization.

389578080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 389578080 is about 19737.7323925521. The cubic root of 389578080 is about 730.3507915600.

The spelling of 389578080 in words is "three hundred eighty-nine million, five hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 5839 6672 8340 11120 11678 13344 16680 17517 22240 23356 29195 33360 35034 46712 58390 66720 70068 87585 93424 116780 140136 175170 186848 233560 280272 350340 467120 560544 700680 811621 934240 1401360 1623242 2434863 2802720 3246484 4058105 4869726 6492968 8116210 9739452 12174315 12985936 16232420 19478904 24348630 25971872 32464840 38957808 48697260 64929680 77915616 97394520 129859360 194789040 389578080