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150452952 = 233133713033
BaseRepresentation
bin10001111011110…
…11101011011000
3101111002210122120
420331323223120
5302003443302
622532421240
73504554226
oct1075735330
9344083576
10150452952
1177a21591
1242477820
132522a120
1415da5b16
15d31d9bc
hex8f7bad8

150452952 has 64 divisors (see below), whose sum is σ = 416045280. Its totient is φ = 45038592.

The previous prime is 150452947. The next prime is 150452977. The reversal of 150452952 is 259254051.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5028 + ... + 18060.

Almost surely, 2150452952 is an apocalyptic number.

150452952 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 150452952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208022640).

150452952 is an abundant number, since it is smaller than the sum of its proper divisors (265592328).

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

150452952 is a wasteful number, since it uses less digits than its factorization.

150452952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 150452952 is about 12265.9264631743. The cubic root of 150452952 is about 531.8635619741.

The spelling of 150452952 in words is "one hundred fifty million, four hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 13033 26066 39099 52132 78198 104264 156396 169429 312792 338858 482221 508287 677716 964442 1016574 1355432 1446663 1928884 2033148 2893326 3857768 4066296 5786652 6268873 11573304 12537746 18806619 25075492 37613238 50150984 75226476 150452952