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150950952 = 2334281829
BaseRepresentation
bin10001111111101…
…01010000101000
3101112001002210000
420333311100220
5302120412302
622551223000
73512030145
oct1077652050
9345032700
10150950952
1178231759
1242677a60
13253729b9
14160953cc
15d3bb31c
hex8ff5428

150950952 has 80 divisors (see below), whose sum is σ = 424818900. Its totient is φ = 50077440.

The previous prime is 150950911. The next prime is 150950957. The reversal of 150950952 is 259059051.

150950952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148498596 + 2452356 = 12186^2 + 1566^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150950957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181674 + ... + 182502.

Almost surely, 2150950952 is an apocalyptic number.

150950952 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 150950952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212409450).

150950952 is an abundant number, since it is smaller than the sum of its proper divisors (273867948).

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

150950952 is a wasteful number, since it uses less digits than its factorization.

150950952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 150950952 is about 12286.2098305377. The cubic root of 150950952 is about 532.4497393546.

The spelling of 150950952 in words is "one hundred fifty million, nine hundred fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 281 324 562 648 829 843 1124 1658 1686 2248 2487 2529 3316 3372 4974 5058 6632 6744 7461 7587 9948 10116 14922 15174 19896 20232 22383 22761 29844 30348 44766 45522 59688 60696 67149 89532 91044 134298 179064 182088 232949 268596 465898 537192 698847 931796 1397694 1863592 2096541 2795388 4193082 5590776 6289623 8386164 12579246 16772328 18868869 25158492 37737738 50316984 75475476 150950952