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389464032 = 25367151401
BaseRepresentation
bin10111001101101…
…011111111100000
31000010211211012210
4113031223333200
51244200322112
6102351322120
712436250436
oct2715537740
91003754183
10389464032
1118a92a101
12aa520340
13628c2ab9
1439a20d56
15242d1b3c
hex1736bfe0

389464032 has 96 divisors (see below), whose sum is σ = 1047078144. Its totient is φ = 126720000.

The previous prime is 389464013. The next prime is 389464051. The reversal of 389464032 is 230464983.

It is an interprime number because it is at equal distance from previous prime (389464013) and next prime (389464051).

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

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, 971032 + ... + 971432.

It is an arithmetic number, because the mean of its divisors is an integer number (10907064).

Almost surely, 2389464032 is an apocalyptic number.

389464032 is a gapful number since it is divisible by the number (32) 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 389464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523539072).

389464032 is an abundant number, since it is smaller than the sum of its proper divisors (657614112).

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

389464032 is a wasteful number, since it uses less digits than its factorization.

389464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 389464032 is about 19734.8430953986. The cubic root of 389464032 is about 730.2795151537.

The spelling of 389464032 in words is "three hundred eighty-nine million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 151 201 268 302 401 402 453 536 604 802 804 906 1072 1203 1208 1604 1608 1812 2144 2406 2416 3208 3216 3624 4812 4832 6416 6432 7248 9624 10117 12832 14496 19248 20234 26867 30351 38496 40468 53734 60551 60702 80601 80936 107468 121102 121404 161202 161872 181653 214936 242204 242808 322404 323744 363306 429872 484408 485616 644808 726612 859744 968816 971232 1289616 1453224 1937632 2579232 2906448 4056917 5812896 8113834 12170751 16227668 24341502 32455336 48683004 64910672 97366008 129821344 194732016 389464032