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152550432 = 2533383461
BaseRepresentation
bin10010001011110…
…11110000100000
3101122001100212000
421011323300200
5303023103212
623045404000
73531441306
oct1105736040
9348040760
10152550432
1179124441
1243109600
13257b2a38
1416390276
15d5d51dc
hex917bc20

152550432 has 96 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 50607360.

The previous prime is 152550413. The next prime is 152550439. The reversal of 152550432 is 234055251.

It is a happy number.

152550432 is a `hidden beast` number, since 152 + 5 + 504 + 3 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152550396 and 152550405.

It is not an unprimeable number, because it can be changed into a prime (152550439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330682 + ... + 331142.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2152550432 is an apocalyptic number.

152550432 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 152550432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

152550432 is an abundant number, since it is smaller than the sum of its proper divisors (294517728).

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

152550432 is a wasteful number, since it uses less digits than its factorization.

152550432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 152550432 is about 12351.1307984330. The cubic root of 152550432 is about 534.3237526724.

The spelling of 152550432 in words is "one hundred fifty-two million, five hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 383 432 461 766 864 922 1149 1383 1532 1844 2298 2766 3064 3447 3688 4149 4596 5532 6128 6894 7376 8298 9192 10341 11064 12256 12447 13788 14752 16596 18384 20682 22128 24894 27576 33192 36768 41364 44256 49788 55152 66384 82728 99576 110304 132768 165456 176563 199152 330912 353126 398304 529689 706252 1059378 1412504 1589067 2118756 2825008 3178134 4237512 4767201 5650016 6356268 8475024 9534402 12712536 16950048 19068804 25425072 38137608 50850144 76275216 152550432