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639042432 = 2737317669
BaseRepresentation
bin100110000101110…
…000001110000000
31122112110201102020
4212011300032000
52302043324212
6143224521440
721556525320
oct4605601600
91575421366
10639042432
112a87a5046
1215a020280
13a2518622
1460c2b280
153b180d8c
hex26170380

639042432 has 128 divisors (see below), whose sum is σ = 2002790400. Its totient is φ = 176670720.

The previous prime is 639042431. The next prime is 639042457. The reversal of 639042432 is 234240936.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 639042393 and 639042402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639042431) 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, 79494 + ... + 87162.

It is an arithmetic number, because the mean of its divisors is an integer number (15646800).

Almost surely, 2639042432 is an apocalyptic number.

639042432 is a gapful number since it is divisible by the number (62) 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 639042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001395200).

639042432 is an abundant number, since it is smaller than the sum of its proper divisors (1363747968).

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

639042432 is a wasteful number, since it uses less digits than its factorization.

639042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 639042432 is about 25279.2885975852. The cubic root of 639042432 is about 861.3438661234.

The spelling of 639042432 in words is "six hundred thirty-nine million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 7669 10416 11904 13888 15338 20832 23007 27776 30676 41664 46014 53683 61352 83328 92028 107366 122704 161049 184056 214732 237739 245408 322098 368112 429464 475478 490816 644196 713217 736224 858928 950956 981632 1288392 1426434 1472448 1664173 1717856 1901912 2576784 2852868 2944896 3328346 3435712 3803824 4992519 5153568 5705736 6656692 6871424 7607648 9985038 10307136 11411472 13313384 15215296 19970076 20614272 22822944 26626768 30430592 39940152 45645888 53253536 79880304 91291776 106507072 159760608 213014144 319521216 639042432