Search a number
-
+
152047632 = 24311247557
BaseRepresentation
bin10010001000000…
…01000000010000
3101121002211010210
421010001000100
5302411011012
623030524120
73524245362
oct1104010020
9347084123
10152047632
1178910700
1242b06640
1325667c19
141629cd32
15d53623c
hex9101010

152047632 has 120 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 45013760.

The previous prime is 152047607. The next prime is 152047657. The reversal of 152047632 is 236740251.

It is an interprime number because it is at equal distance from previous prime (152047607) and next prime (152047657).

It is a self number, because there is not a number n which added to its sum of digits gives 152047632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272698 + ... + 273254.

Almost surely, 2152047632 is an apocalyptic number.

152047632 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 152047632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

152047632 is an abundant number, since it is smaller than the sum of its proper divisors (289674096).

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

152047632 is a wasteful number, since it uses less digits than its factorization.

152047632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 152047632 is about 12330.7595873085. The cubic root of 152047632 is about 533.7360701098.

Adding to 152047632 its reverse (236740251), we get a palindrome (388787883).

The spelling of 152047632 in words is "one hundred fifty-two million, forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 121 132 141 176 188 242 264 282 363 376 484 517 528 557 564 726 752 968 1034 1114 1128 1452 1551 1671 1936 2068 2228 2256 2904 3102 3342 4136 4456 5687 5808 6127 6204 6684 8272 8912 11374 12254 12408 13368 17061 18381 22748 24508 24816 26179 26736 34122 36762 45496 49016 52358 67397 68244 73524 78537 90992 98032 104716 134794 136488 147048 157074 202191 209432 269588 272976 287969 294096 314148 404382 418864 539176 575938 628296 808764 863907 1078352 1151876 1256592 1617528 1727814 2303752 3167659 3235056 3455628 4607504 6335318 6911256 9502977 12670636 13822512 19005954 25341272 38011908 50682544 76023816 152047632