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150255952 = 24731119131
BaseRepresentation
bin10001111010010…
…11100101010000
3101110201210102021
420331023211100
5301431142302
622524301224
73503104000
oct1075134520
9343653367
10150255952
11778a7580
12423a1814
132518b562
1415d54000
15d2d0437
hex8f4b950

150255952 has 160 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 55036800.

The previous prime is 150255947. The next prime is 150255961. The reversal of 150255952 is 259552051.

It is a happy number.

It is a super-2 number, since 2×1502559522 = 45153702222852608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146927 + ... + 1147057.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2150255952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150255952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

150255952 is an abundant number, since it is smaller than the sum of its proper divisors (242576048).

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

150255952 is a wasteful number, since it uses less digits than its factorization.

150255952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The square root of 150255952 is about 12257.8934568710. The cubic root of 150255952 is about 531.6313235132.

The spelling of 150255952 in words is "one hundred fifty million, two hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 131 133 152 154 176 196 209 262 266 304 308 343 392 418 524 532 539 616 686 784 836 917 931 1048 1064 1078 1232 1372 1441 1463 1672 1834 1862 2096 2128 2156 2489 2744 2882 2926 3344 3668 3724 3773 4312 4978 5488 5764 5852 6419 6517 7336 7448 7546 8624 9956 10087 10241 11528 11704 12838 13034 14672 14896 15092 17423 19912 20174 20482 23056 23408 25676 26068 27379 30184 34846 39824 40348 40964 44933 51352 52136 54758 60368 69692 70609 71687 80696 81928 89866 102704 104272 109516 121961 139384 141218 143374 161392 163856 179732 191653 219032 243922 278768 282436 286748 359464 383306 438064 487844 494263 564872 573496 718928 766612 853727 975688 988526 1129744 1146992 1341571 1533224 1707454 1951376 1977052 2683142 3066448 3414908 3954104 5366284 6829816 7908208 9390997 10732568 13659632 18781994 21465136 37563988 75127976 150255952