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150553312 = 2571324197
BaseRepresentation
bin10001111100101…
…00001011100000
3101111021220022121
420332110023200
5302020201222
622534514024
73505452640
oct1076241340
9344256277
10150553312
1177a8aa28
1242505914
1325263a00
1415dd0520
15d33d5c7
hex8f942e0

150553312 has 144 divisors (see below), whose sum is σ = 379626912. Its totient is φ = 57507840.

The previous prime is 150553303. The next prime is 150553357. The reversal of 150553312 is 213355051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552048 + ... + 1552144.

It is an arithmetic number, because the mean of its divisors is an integer number (2636298).

Almost surely, 2150553312 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 150553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189813456).

150553312 is an abundant number, since it is smaller than the sum of its proper divisors (229073600).

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

150553312 is a wasteful number, since it uses less digits than its factorization.

150553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 150553312 is about 12270.0167889046. The cubic root of 150553312 is about 531.9817959739.

The spelling of 150553312 in words is "one hundred fifty million, five hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 97 104 112 164 169 182 194 208 224 287 328 338 364 388 416 533 574 656 676 679 728 776 1066 1148 1183 1261 1312 1352 1358 1456 1552 2132 2296 2366 2522 2704 2716 2912 3104 3731 3977 4264 4592 4732 5044 5408 5432 6929 7462 7954 8528 8827 9184 9464 10088 10864 13858 14924 15908 16393 17056 17654 18928 20176 21728 27716 27839 29848 31816 32786 35308 37856 40352 48503 51701 55432 55678 59696 63632 65572 70616 97006 103402 110864 111356 114751 119392 127264 131144 141232 194012 206804 221728 222712 229502 262288 282464 361907 388024 413608 445424 459004 524576 672113 723814 776048 827216 890848 918008 1344226 1447628 1552096 1654432 1836016 2688452 2895256 3672032 4704791 5376904 5790512 9409582 10753808 11581024 18819164 21507616 37638328 75276656 150553312