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152978625 = 345329521
BaseRepresentation
bin10010001111001…
…00010011000001
3101122212010020000
421013210103001
5303130304000
623102510213
73535203552
oct1107442301
9348763200
10152978625
1179397118
1243295369
13259028c7
1416462329
15d66c000
hex91e44c1

152978625 has 80 divisors (see below), whose sum is σ = 295598160. Its totient is φ = 78624000.

The previous prime is 152978611. The next prime is 152978647. The reversal of 152978625 is 526879251.

152978625 is a `hidden beast` number, since 15 + 2 + 9 + 7 + 8 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64016001 + 88962624 = 8001^2 + 9432^2 .

It is not a de Polignac number, because 152978625 - 25 = 152978593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 293365 + ... + 293885.

It is an arithmetic number, because the mean of its divisors is an integer number (3694977).

Almost surely, 2152978625 is an apocalyptic number.

152978625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152978625 is a deficient number, since it is larger than the sum of its proper divisors (142619535).

152978625 is an equidigital number, since it uses as much as digits as its factorization.

152978625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 152978625 is about 12368.4528135091. The cubic root of 152978625 is about 534.8232158209.

The spelling of 152978625 in words is "one hundred fifty-two million, nine hundred seventy-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 125 135 145 225 261 375 405 435 521 675 725 783 1125 1305 1563 2025 2175 2349 2605 3375 3625 3915 4689 6525 7815 10125 10875 11745 13025 14067 15109 19575 23445 32625 39075 42201 45327 58725 65125 70335 75545 97875 117225 135981 195375 211005 226635 293625 351675 377725 407943 586125 679905 1055025 1133175 1223829 1758375 1888625 2039715 3399525 5275125 5665875 6119145 10198575 16997625 30595725 50992875 152978625