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150056256 = 2637311359
BaseRepresentation
bin10001111000110…
…10110101000000
3101110100122111010
420330122311000
5301403300011
622520120520
73501312540
oct1074326500
9343318433
10150056256
1177780539
1242306140
132511b6ac
1415d01320
15d2911a6
hex8f1ad40

150056256 has 112 divisors (see below), whose sum is σ = 456468480. Its totient is φ = 42616320.

The previous prime is 150056239. The next prime is 150056273. The reversal of 150056256 is 652650051.

It is an interprime number because it is at equal distance from previous prime (150056239) and next prime (150056273).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417805 + ... + 418163.

Almost surely, 2150056256 is an apocalyptic number.

150056256 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 150056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

150056256 is an abundant number, since it is smaller than the sum of its proper divisors (306412224).

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

150056256 is a wasteful number, since it uses less digits than its factorization.

150056256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 150056256 is about 12249.7451402060. The cubic root of 150056256 is about 531.3956995342.

The spelling of 150056256 in words is "one hundred fifty million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 311 336 359 448 622 672 718 933 1077 1244 1344 1436 1866 2154 2177 2488 2513 2872 3732 4308 4354 4976 5026 5744 6531 7464 7539 8616 8708 9952 10052 11488 13062 14928 15078 17232 17416 19904 20104 22976 26124 29856 30156 34464 34832 40208 52248 59712 60312 68928 69664 80416 104496 111649 120624 139328 160832 208992 223298 241248 334947 417984 446596 482496 669894 781543 893192 1339788 1563086 1786384 2344629 2679576 3126172 3572768 4689258 5359152 6252344 7145536 9378516 10718304 12504688 18757032 21436608 25009376 37514064 50018752 75028128 150056256