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48043008 = 2103213401
BaseRepresentation
bin1011011101000…
…1010000000000
310100101211121200
42313101100000
544244334013
64433421200
71122234036
oct267212000
9110354550
1048043008
1125134472
121410a800
139c51720
146548556
15433ee73
hex2dd1400

48043008 has 132 divisors (see below), whose sum is σ = 149766708. Its totient is φ = 14745600.

The previous prime is 48042919. The next prime is 48043027. The reversal of 48043008 is 80034084.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 17040384 = 5568^2 + 4128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119608 + ... + 120008.

Almost surely, 248043008 is an apocalyptic number.

48043008 is a gapful number since it is divisible by the number (48) 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 48043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74883354).

48043008 is an abundant number, since it is smaller than the sum of its proper divisors (101723700).

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

48043008 is a wasteful number, since it uses less digits than its factorization.

48043008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48043008 is about 6931.3063703749. The cubic root of 48043008 is about 363.5326288346.

The spelling of 48043008 in words is "forty-eight million, forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 401 416 468 512 576 624 768 802 832 936 1024 1152 1203 1248 1536 1604 1664 1872 2304 2406 2496 3072 3208 3328 3609 3744 4608 4812 4992 5213 6416 6656 7218 7488 9216 9624 9984 10426 12832 13312 14436 14976 15639 19248 19968 20852 25664 28872 29952 31278 38496 39936 41704 46917 51328 57744 59904 62556 76992 83408 93834 102656 115488 119808 125112 153984 166816 187668 205312 230976 250224 307968 333632 375336 410624 461952 500448 615936 667264 750672 923904 1000896 1231872 1334528 1501344 1847808 2001792 2669056 3002688 3695616 4003584 5338112 6005376 8007168 12010752 16014336 24021504 48043008