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152145432 = 2333739649
BaseRepresentation
bin10010001000110…
…00111000011000
3101121021210022000
421010120320120
5302422123212
623033001000
73525133455
oct1104307030
9347253260
10152145432
117897812a
1242b53160
13256a05aa
14162c682c
15d5551dc
hex9118e18

152145432 has 64 divisors (see below), whose sum is σ = 428460000. Its totient is φ = 50015232.

The previous prime is 152145353. The next prime is 152145451. The reversal of 152145432 is 234541251.

152145432 is a `hidden beast` number, since 15 + 214 + 5 + 432 = 666.

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 = 152145396 and 152145405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10944 + ... + 20592.

Almost surely, 2152145432 is an apocalyptic number.

152145432 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 152145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214230000).

152145432 is an abundant number, since it is smaller than the sum of its proper divisors (276314568).

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

152145432 is a wasteful number, since it uses less digits than its factorization.

152145432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737 (or 9727 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 152145432 is about 12334.7246422448. The cubic root of 152145432 is about 533.8504820632.

Adding to 152145432 its reverse (234541251), we get a palindrome (386686683).

The spelling of 152145432 in words is "one hundred fifty-two million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 9649 15768 19298 28947 38596 57894 77192 86841 115788 173682 231576 260523 347364 521046 694728 704377 1042092 1408754 2084184 2113131 2817508 4226262 5635016 6339393 8452524 12678786 16905048 19018179 25357572 38036358 50715144 76072716 152145432