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150064896 = 283375281
BaseRepresentation
bin10001111000111…
…00111100000000
3101110101002100010
420330130330000
5301404034041
622520224520
73501346662
oct1074347400
9343332303
10150064896
1177786a83
124230b140
13251225c7
1415d04532
15d293a16
hex8f1cf00

150064896 has 72 divisors (see below), whose sum is σ = 410263504. Its totient is φ = 48660480.

The previous prime is 150064861. The next prime is 150064897. The reversal of 150064896 is 698460051.

It is a super-2 number, since 2×1500648962 = 45038946022981632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150064897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25776 + ... + 31056.

Almost surely, 2150064896 is an apocalyptic number.

150064896 is a gapful number since it is divisible by the number (16) 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 150064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205131752).

150064896 is an abundant number, since it is smaller than the sum of its proper divisors (260198608).

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

150064896 is an equidigital number, since it uses as much as digits as its factorization.

150064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 150064896 is about 12250.0977955280. The cubic root of 150064896 is about 531.4058983109.

The spelling of 150064896 in words is "one hundred fifty million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 5281 7104 9472 10562 14208 15843 21124 28416 31686 42248 63372 84496 126744 168992 195397 253488 337984 390794 506976 586191 675968 781588 1013952 1172382 1351936 1563176 2027904 2344764 3126352 4055808 4689528 6252704 9379056 12505408 18758112 25010816 37516224 50021632 75032448 150064896