Search a number
-
+
152081748 = 223271323571
BaseRepresentation
bin10010001000010…
…01010101010100
3101121011112221100
421010021111110
5302413103443
623031350100
73524450010
oct1104112524
9347145840
10152081748
11789342a5
1242b22330
132567a600
14162ab540
15d5413d3
hex9109554

152081748 has 108 divisors (see below), whose sum is σ = 475876128. Its totient is φ = 40098240.

The previous prime is 152081693. The next prime is 152081749. The reversal of 152081748 is 847180251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152081749) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40803 + ... + 44373.

Almost surely, 2152081748 is an apocalyptic number.

152081748 is a gapful number since it is divisible by the number (18) 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 152081748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237938064).

152081748 is an abundant number, since it is smaller than the sum of its proper divisors (323794380).

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

152081748 is a wasteful number, since it uses less digits than its factorization.

152081748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 152081748 is about 12332.1428794837. The cubic root of 152081748 is about 533.7759865005.

The spelling of 152081748 in words is "one hundred fifty-two million, eighty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 3571 4732 6084 7098 7142 10647 10713 14196 14284 21294 21426 24997 32139 42588 42852 46423 49994 64278 74991 92846 99988 128556 139269 149982 185692 224973 278538 299964 324961 417807 449946 557076 603499 649922 835614 899892 974883 1206998 1299844 1671228 1810497 1949766 2413996 2924649 3620994 3899532 4224493 5431491 5849298 7241988 8448986 10862982 11698596 12673479 16897972 21725964 25346958 38020437 50693916 76040874 152081748