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390745152 = 2632796911
BaseRepresentation
bin10111010010100…
…100110001000000
31000020020220120200
4113102210301000
51300012321102
6102435005200
712453164460
oct2722446100
91006226520
10390745152
11190624686
12aaa39800
1362c50c65
1439c75ba0
152448651c
hex174a4c40

390745152 has 84 divisors (see below), whose sum is σ = 1280013696. Its totient is φ = 111640320.

The previous prime is 390745151. The next prime is 390745177. The reversal of 390745152 is 251547093.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (390745151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44424 + ... + 52487.

Almost surely, 2390745152 is an apocalyptic number.

390745152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390745152 is an abundant number, since it is smaller than the sum of its proper divisors (889268544).

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

390745152 is a wasteful number, since it uses less digits than its factorization.

390745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96936 (or 96923 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 390745152 is about 19767.2747742323. The cubic root of 390745152 is about 731.0793765402.

The spelling of 390745152 in words is "three hundred ninety million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 96911 193822 290733 387644 581466 678377 775288 872199 1162932 1356754 1550576 1744398 2035131 2325864 2713508 3101152 3488796 4070262 4651728 5427016 6105393 6202304 6977592 8140524 9303456 10854032 12210786 13955184 16281048 18606912 21708064 24421572 27910368 32562096 43416128 48843144 55820736 65124192 97686288 130248384 195372576 390745152