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150257152 = 291761283
BaseRepresentation
bin10001111010010…
…11111000000000
3101110201212001201
420331023320000
5301431212102
622524310544
73503110333
oct1075137000
9343655051
10150257152
11778a8471
12423a2454
132518bc76
1415d5461a
15d2d0987
hex8f4be00

150257152 has 80 divisors (see below), whose sum is σ = 324233712. Its totient is φ = 69304320.

The previous prime is 150257143. The next prime is 150257161. The reversal of 150257152 is 251752051.

It is an interprime number because it is at equal distance from previous prime (150257143) and next prime (150257161).

It is a super-2 number, since 2×1502571522 = 45154423454302208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150257152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530803 + ... + 531085.

Almost surely, 2150257152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162116856).

150257152 is an abundant number, since it is smaller than the sum of its proper divisors (173976560).

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

150257152 is an equidigital number, since it uses as much as digits as its factorization.

150257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 150257152 is about 12257.9424048247. The cubic root of 150257152 is about 531.6327387781.

The spelling of 150257152 in words is "one hundred fifty million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 283 488 512 544 566 976 1037 1088 1132 1952 2074 2176 2264 3904 4148 4352 4528 4811 7808 8296 8704 9056 9622 15616 16592 17263 18112 19244 31232 33184 34526 36224 38488 66368 69052 72448 76976 132736 138104 144896 153952 265472 276208 293471 307904 530944 552416 586942 615808 1104832 1173884 1231616 2209664 2347768 2463232 4419328 4695536 8838656 9391072 18782144 37564288 75128576 150257152