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152391672 = 23331747883
BaseRepresentation
bin10010001010101…
…00111111111000
3101121202022002000
421011110333320
5303003013142
623042141000
73530210406
oct1105247770
9347668060
10152391672
1179026134
1243051760
13257586b4
141634c476
15d5a314c
hex9154ff8

152391672 has 128 divisors (see below), whose sum is σ = 458265600. Its totient is φ = 46738944.

The previous prime is 152391667. The next prime is 152391697. The reversal of 152391672 is 276193251.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172143 + ... + 173025.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2152391672 is an apocalyptic number.

152391672 is a gapful number since it is divisible by the number (12) 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 152391672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

152391672 is an abundant number, since it is smaller than the sum of its proper divisors (305873928).

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

152391672 is a wasteful number, since it uses less digits than its factorization.

152391672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 152391672 is about 12344.7021835280. The cubic root of 152391672 is about 534.1383305308.

The spelling of 152391672 in words is "one hundred fifty-two million, three hundred ninety-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 376 408 423 459 564 612 799 846 883 918 1128 1224 1269 1598 1692 1766 1836 2397 2538 2649 3196 3384 3532 3672 4794 5076 5298 6392 7064 7191 7947 9588 10152 10596 14382 15011 15894 19176 21192 21573 23841 28764 30022 31788 41501 43146 45033 47682 57528 60044 63576 83002 86292 90066 95364 120088 124503 135099 166004 172584 180132 190728 249006 270198 332008 360264 373509 405297 498012 540396 705517 747018 810594 996024 1080792 1120527 1411034 1494036 1621188 2116551 2241054 2822068 2988072 3242376 4233102 4482108 5644136 6349653 8466204 8964216 12699306 16932408 19048959 25398612 38097918 50797224 76195836 152391672