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150552468 = 223211478089
BaseRepresentation
bin10001111100100…
…11111110010100
3101111021212011100
420332103332110
5302020134333
622534510100
73505450323
oct1076237624
9344255140
10150552468
1177a8a330
1242505330
1325263501
1415dd00ba
15d33d213
hex8f93f94

150552468 has 72 divisors (see below), whose sum is σ = 424045440. Its totient is φ = 44645760.

The previous prime is 150552463. The next prime is 150552469. The reversal of 150552468 is 864255051.

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 (150552463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14568 + ... + 22656.

It is an arithmetic number, because the mean of its divisors is an integer number (5889520).

Almost surely, 2150552468 is an apocalyptic number.

150552468 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 150552468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212022720).

150552468 is an abundant number, since it is smaller than the sum of its proper divisors (273492972).

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

150552468 is a wasteful number, since it uses less digits than its factorization.

150552468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 150552468 is about 12269.9823960754. The cubic root of 150552468 is about 531.9808018775.

The spelling of 150552468 in words is "one hundred fifty million, five hundred fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 8089 9306 16178 18612 24267 32356 48534 72801 88979 97068 145602 177958 266937 291204 355916 380183 533874 760366 800811 1067748 1140549 1520732 1601622 2281098 3203244 3421647 4182013 4562196 6843294 8364026 12546039 13686588 16728052 25092078 37638117 50184156 75276234 150552468