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150042256 = 2471327927
BaseRepresentation
bin10001111000101…
…11011010010000
3101110022221021121
420330113122100
5301402323011
622515532024
73501223660
oct1074273220
9343287247
10150042256
1177770a71
12422ba014
1325115200
1415cda1a0
15d28be71
hex8f17690

150042256 has 60 divisors (see below), whose sum is σ = 359804352. Its totient is φ = 59349888.

The previous prime is 150042239. The next prime is 150042257. The reversal of 150042256 is 652240051.

It is a self number, because there is not a number n which added to its sum of digits gives 150042256.

It is not an unprimeable number, because it can be changed into a prime (150042257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14965 + ... + 22891.

Almost surely, 2150042256 is an apocalyptic number.

150042256 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 150042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179902176).

150042256 is an abundant number, since it is smaller than the sum of its proper divisors (209762096).

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

150042256 is a wasteful number, since it uses less digits than its factorization.

150042256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 150042256 is about 12249.1736864166. The cubic root of 150042256 is about 531.3791729075.

The spelling of 150042256 in words is "one hundred fifty million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 7927 9464 15854 18928 31708 55489 63416 103051 110978 126832 206102 221956 412204 443912 721357 824408 887824 1339663 1442714 1648816 2679326 2885428 5358652 5770856 9377641 10717304 11541712 18755282 21434608 37510564 75021128 150042256