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639770624 = 213292693
BaseRepresentation
bin100110001000100…
…010000000000000
31122120211201022022
4212020202000000
52302240124444
6143252301012
721565650323
oct4610420000
91576751268
10639770624
112a9152159
1215a311768
13a2711bcc
1460d7a7ba
153b2769ee
hex26222000

639770624 has 56 divisors (see below), whose sum is σ = 1324074060. Its totient is φ = 308740096.

The previous prime is 639770611. The next prime is 639770629. The reversal of 639770624 is 426077936.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 639078400 + 692224 = 25280^2 + 832^2 .

It is not an unprimeable number, because it can be changed into a prime (639770629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236222 + ... + 238914.

Almost surely, 2639770624 is an apocalyptic number.

639770624 is a gapful number since it is divisible by the number (64) 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 639770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662037030).

639770624 is an abundant number, since it is smaller than the sum of its proper divisors (684303436).

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

639770624 is an equidigital number, since it uses as much as digits as its factorization.

639770624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 639770624 is about 25293.6874338243. The cubic root of 639770624 is about 861.6709104584.

The spelling of 639770624 in words is "six hundred thirty-nine million, seven hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 2693 3712 4096 5386 7424 8192 10772 14848 21544 29696 43088 59392 78097 86176 118784 156194 172352 237568 312388 344704 624776 689408 1249552 1378816 2499104 2757632 4998208 5515264 9996416 11030528 19992832 22061056 39985664 79971328 159942656 319885312 639770624