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147679056 = 24327239613
BaseRepresentation
bin10001100110101…
…10011101010000
3101021212212120200
420303112131100
5300301212211
622353135200
73442152120
oct1063263520
9337785520
10147679056
11763a7508
124155a500
1324798675
1415882c80
15ce71b56
hex8cd6750

147679056 has 120 divisors (see below), whose sum is σ = 475088640. Its totient is φ = 41948928.

The previous prime is 147679043. The next prime is 147679061. The reversal of 147679056 is 650976741.

It is a happy number.

It is a super-2 number, since 2×1476790562 = 43618207162102272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 240606 + ... + 241218.

It is an arithmetic number, because the mean of its divisors is an integer number (3959072).

Almost surely, 2147679056 is an apocalyptic number.

147679056 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 147679056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237544320).

147679056 is an abundant number, since it is smaller than the sum of its proper divisors (327409584).

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

147679056 is a wasteful number, since it uses less digits than its factorization.

147679056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 147679056 is about 12152.3271845355. The cubic root of 147679056 is about 528.5746154735.

The spelling of 147679056 in words is "one hundred forty-seven million, six hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 239 252 336 478 504 613 717 956 1008 1226 1434 1673 1839 1912 2151 2452 2868 3346 3678 3824 4291 4302 4904 5019 5517 5736 6692 7356 8582 8604 9808 10038 11034 11472 12873 13384 14712 15057 17164 17208 20076 22068 25746 26768 29424 30114 34328 34416 38619 40152 44136 51492 60228 68656 77238 80304 88272 102984 120456 146507 154476 205968 240912 293014 308952 439521 586028 617904 879042 1025549 1172056 1318563 1758084 2051098 2344112 2637126 3076647 3516168 4102196 5274252 6153294 7032336 8204392 9229941 10548504 12306588 16408784 18459882 21097008 24613176 36919764 49226352 73839528 147679056