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642475392 = 27313179719
BaseRepresentation
bin100110010010110…
…110010110000000
31122202221010112220
4212102312112000
52303433203032
6143430251040
721630644046
oct4622662600
91582833486
10642475392
112aa72a2a9
1215b1b6a80
13a314b070
1461482396
153b60d12c
hex264b6580

642475392 has 128 divisors (see below), whose sum is σ = 1850688000. Its totient is φ = 196306944.

The previous prime is 642475387. The next prime is 642475439. The reversal of 642475392 is 293574246.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893209 + ... + 893927.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2642475392 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 642475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

642475392 is an abundant number, since it is smaller than the sum of its proper divisors (1208212608).

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

642475392 is a wasteful number, since it uses less digits than its factorization.

642475392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 642475392 is about 25347.0982954657. The cubic root of 642475392 is about 862.8835029675.

The spelling of 642475392 in words is "six hundred forty-two million, four hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 179 192 208 312 358 384 416 537 624 716 719 832 1074 1248 1432 1438 1664 2148 2157 2327 2496 2864 2876 4296 4314 4654 4992 5728 5752 6981 8592 8628 9308 9347 11456 11504 13962 17184 17256 18616 18694 22912 23008 27924 28041 34368 34512 37232 37388 46016 55848 56082 68736 69024 74464 74776 92032 111696 112164 128701 138048 148928 149552 223392 224328 257402 276096 297856 299104 386103 446784 448656 514804 598208 772206 893568 897312 1029608 1196416 1544412 1673113 1794624 2059216 3088824 3346226 3589248 4118432 5019339 6177648 6692452 8236864 10038678 12355296 13384904 16473728 20077356 24710592 26769808 40154712 49421184 53539616 80309424 107079232 160618848 214158464 321237696 642475392