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147381312 = 26313137431
BaseRepresentation
bin10001100100011…
…01110001000000
3101021022202011010
420302031301000
5300212200222
622342520520
73436502061
oct1062156100
9337282133
10147381312
1176213841
1241436140
13246c2ca0
1415806568
15ce1380c
hex8c8dc40

147381312 has 112 divisors (see below), whose sum is σ = 423988992. Its totient is φ = 44912640.

The previous prime is 147381301. The next prime is 147381319. The reversal of 147381312 is 213183741.

It is a super-2 number, since 2×1473813122 = 43442502253682688, 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 147381312.

It is not an unprimeable number, because it can be changed into a prime (147381319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341737 + ... + 342167.

It is an arithmetic number, because the mean of its divisors is an integer number (3785616).

Almost surely, 2147381312 is an apocalyptic number.

147381312 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 147381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211994496).

147381312 is an abundant number, since it is smaller than the sum of its proper divisors (276607680).

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

147381312 is a wasteful number, since it uses less digits than its factorization.

147381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 147381312 is about 12140.0705105036. The cubic root of 147381312 is about 528.2191468632.

The spelling of 147381312 in words is "one hundred forty-seven million, three hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 137 156 192 208 274 312 411 416 431 548 624 822 832 862 1096 1248 1293 1644 1724 1781 2192 2496 2586 3288 3448 3562 4384 5172 5343 5603 6576 6896 7124 8768 10344 10686 11206 13152 13792 14248 16809 20688 21372 22412 26304 27584 28496 33618 41376 42744 44824 56992 59047 67236 82752 85488 89648 113984 118094 134472 170976 177141 179296 236188 268944 341952 354282 358592 472376 537888 708564 767611 944752 1075776 1417128 1535222 1889504 2302833 2834256 3070444 3779008 4605666 5668512 6140888 9211332 11337024 12281776 18422664 24563552 36845328 49127104 73690656 147381312