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152241474 = 237112291033
BaseRepresentation
bin10010001001100…
…00010101000010
3101121110200001010
421010300111002
5302433211344
623035021350
73526013460
oct1104602502
9347420033
10152241474
1178a33300
1242b9a856
1325705218
141630d830
15d5738b9
hex9130542

152241474 has 96 divisors (see below), whose sum is σ = 396063360. Its totient is φ = 38142720.

The previous prime is 152241473. The next prime is 152241497. The reversal of 152241474 is 474142251.

It is not an unprimeable number, because it can be changed into a prime (152241473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146862 + ... + 147894.

It is an arithmetic number, because the mean of its divisors is an integer number (4125660).

Almost surely, 2152241474 is an apocalyptic number.

152241474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152241474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198031680).

152241474 is an abundant number, since it is smaller than the sum of its proper divisors (243821886).

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

152241474 is a wasteful number, since it uses less digits than its factorization.

152241474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1085 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 152241474 is about 12338.6171834610. The cubic root of 152241474 is about 533.9627897033.

The spelling of 152241474 in words is "one hundred fifty-two million, two hundred forty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 121 154 174 203 231 242 319 363 406 462 609 638 726 847 957 1033 1218 1694 1914 2066 2233 2541 3099 3509 4466 5082 6198 6699 7018 7231 10527 11363 13398 14462 21054 21693 22726 24563 29957 34089 43386 49126 59914 68178 73689 79541 89871 124993 147378 159082 179742 209699 238623 249986 329527 374979 419398 477246 629097 659054 749958 874951 988581 1258194 1749902 1977162 2306689 2624853 3624797 4613378 5249706 6920067 7249594 10874391 13840134 21748782 25373579 50747158 76120737 152241474