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638043048 = 233317473697
BaseRepresentation
bin100110000001111…
…100001110101000
31122110120221112000
4212001330032220
52301314334143
6143151251000
721545163546
oct4601741650
91573527460
10638043048
112a8182205
12159819a60
13a2258786
1460a4ad96
153b034bd3
hex2607c3a8

638043048 has 128 divisors (see below), whose sum is σ = 1917043200. Its totient is φ = 195858432.

The previous prime is 638043019. The next prime is 638043053. The reversal of 638043048 is 840340836.

It is a super-2 number, since 2×6380430482 = 814197862202260608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 170736 + ... + 174432.

It is an arithmetic number, because the mean of its divisors is an integer number (14976900).

Almost surely, 2638043048 is an apocalyptic number.

638043048 is a gapful number since it is divisible by the number (68) 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 638043048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958521600).

638043048 is an abundant number, since it is smaller than the sum of its proper divisors (1279000152).

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

638043048 is a wasteful number, since it uses less digits than its factorization.

638043048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 638043048 is about 25259.5140095767. The cubic root of 638043048 is about 860.8946197922.

The spelling of 638043048 in words is "six hundred thirty-eight million, forty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 376 408 423 459 564 612 799 846 918 1128 1224 1269 1598 1692 1836 2397 2538 3196 3384 3672 3697 4794 5076 6392 7191 7394 9588 10152 11091 14382 14788 19176 21573 22182 28764 29576 33273 43146 44364 57528 62849 66546 86292 88728 99819 125698 133092 172584 173759 188547 199638 251396 266184 347518 377094 399276 502792 521277 565641 695036 754188 798552 1042554 1131282 1390072 1508376 1563831 1696923 2085108 2262564 2953903 3127662 3393846 4170216 4525128 4691493 5907806 6255324 6787692 8861709 9382986 11815612 12510648 13575384 17723418 18765972 23631224 26585127 35446836 37531944 53170254 70893672 79755381 106340508 159510762 212681016 319021524 638043048