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642023604 = 223319595303
BaseRepresentation
bin100110010001001…
…000000010110100
31122202002011211000
4212101020002310
52303324223404
6143412443300
721624052635
oct4621100264
91582064730
10642023604
112aa450922
1215b019530
13a3020531
14613a588c
153b56e339
hex264480b4

642023604 has 96 divisors (see below), whose sum is σ = 1782144000. Its totient is φ = 199270368.

The previous prime is 642023579. The next prime is 642023621. The reversal of 642023604 is 406320246.

642023604 is a `hidden beast` number, since 6 + 420 + 236 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118417 + ... + 123719.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2642023604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642023604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072000).

642023604 is an abundant number, since it is smaller than the sum of its proper divisors (1140120396).

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

642023604 is a wasteful number, since it uses less digits than its factorization.

642023604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 642023604 is about 25338.1847021447. The cubic root of 642023604 is about 862.6811959577.

The spelling of 642023604 in words is "six hundred forty-two million, twenty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 342 354 513 531 684 708 1026 1062 1121 1593 2052 2124 2242 3186 3363 4484 5303 6372 6726 10089 10606 13452 15909 20178 21212 30267 31818 40356 47727 60534 63636 95454 100757 121068 143181 190908 201514 286362 302271 312877 403028 572724 604542 625754 906813 938631 1209084 1251508 1813626 1877262 2720439 2815893 3627252 3754524 5440878 5631786 5944663 8447679 10881756 11263572 11889326 16895358 17833989 23778652 33790716 35667978 53501967 71335956 107003934 160505901 214007868 321011802 642023604