Search a number
-
+
151413552 = 24322414363
BaseRepresentation
bin10010000011001…
…10001100110000
3101112220121100100
421001212030300
5302230213202
623005152400
73515664633
oct1101461460
9345817310
10151413552
1178518274
124285b700
13254a5424
1416175c1a
15d45d41c
hex9066330

151413552 has 60 divisors (see below), whose sum is σ = 425603464. Its totient is φ = 50250240.

The previous prime is 151413551. The next prime is 151413617. The reversal of 151413552 is 255314151.

It is not an unprimeable number, because it can be changed into a prime (151413551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32523 + ... + 36885.

Almost surely, 2151413552 is an apocalyptic number.

151413552 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 151413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212801732).

151413552 is an abundant number, since it is smaller than the sum of its proper divisors (274189912).

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

151413552 is a wasteful number, since it uses less digits than its factorization.

151413552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4609 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 151413552 is about 12305.0214140407. The cubic root of 151413552 is about 532.9930947975.

The spelling of 151413552 in words is "one hundred fifty-one million, four hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 4363 5784 8676 8726 11568 13089 17352 17452 26178 34704 34904 39267 52356 69808 78534 104712 157068 209424 314136 628272 1051483 2102966 3154449 4205932 6308898 8411864 9463347 12617796 16823728 18926694 25235592 37853388 50471184 75706776 151413552