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150534252 = 2232111759379
BaseRepresentation
bin10001111100011…
…11100001101100
3101111020221011200
420332033201230
5302014044002
622534245500
73505343241
oct1076174154
9344227150
10150534252
1177a77680
12424b6890
132525812b
1415dc75c8
15d337b1c
hex8f8f86c

150534252 has 144 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 42094080.

The previous prime is 150534239. The next prime is 150534259. The reversal of 150534252 is 252435051.

It is a happy number.

It is a super-2 number, since 2×1505342522 = 45321122050399008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150534259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396999 + ... + 397377.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2150534252 is an apocalyptic number.

150534252 is a gapful number since it is divisible by the number (12) 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 150534252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

150534252 is an abundant number, since it is smaller than the sum of its proper divisors (297622548).

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

150534252 is a wasteful number, since it uses less digits than its factorization.

150534252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 150534252 is about 12269.2400742670. The cubic root of 150534252 is about 531.9593454527.

The spelling of 150534252 in words is "one hundred fifty million, five hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 59 66 68 99 102 118 132 153 177 187 198 204 236 306 354 374 379 396 531 561 612 649 708 748 758 1003 1062 1122 1137 1298 1516 1683 1947 2006 2124 2244 2274 2596 3009 3366 3411 3894 4012 4169 4548 5841 6018 6443 6732 6822 7788 8338 9027 11033 11682 12036 12507 12886 13644 16676 18054 19329 22066 22361 23364 25014 25772 33099 36108 37521 38658 44132 44722 50028 57987 66198 67083 70873 75042 77316 89444 99297 115974 132396 134166 141746 150084 198594 201249 212619 231948 245971 268332 283492 380137 397188 402498 425238 491942 637857 737913 760274 804996 850476 983884 1140411 1275714 1475826 1520548 2213739 2280822 2551428 2951652 3421233 4181507 4427478 4561644 6842466 8363014 8854956 12544521 13684932 16726028 25089042 37633563 50178084 75267126 150534252