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642809856 = 215313503
BaseRepresentation
bin100110010100001…
…000000000000000
31122210120010100110
4212110020000000
52304024403411
6143441351320
721633536133
oct4624100000
91583503313
10642809856
112aa938617
1215b338540
13a3237380
146152c21a
153b6772a6
hex26508000

642809856 has 128 divisors (see below), whose sum is σ = 1849659840. Its totient is φ = 197394432.

The previous prime is 642809837. The next prime is 642809861. The reversal of 642809856 is 658908246.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277701 + ... + 1278203.

Almost surely, 2642809856 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 642809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924829920).

642809856 is an abundant number, since it is smaller than the sum of its proper divisors (1206849984).

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

642809856 is an equidigital number, since it uses as much as digits as its factorization.

642809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 642809856 is about 25353.6951153081. The cubic root of 642809856 is about 863.0332121522.

The spelling of 642809856 in words is "six hundred forty-two million, eight hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 503 512 624 768 832 1006 1024 1248 1509 1536 1664 2012 2048 2496 3018 3072 3328 4024 4096 4992 6036 6144 6539 6656 8048 8192 9984 12072 12288 13078 13312 16096 16384 19617 19968 24144 24576 26156 26624 32192 32768 39234 39936 48288 49152 52312 53248 64384 78468 79872 96576 98304 104624 106496 128768 156936 159744 193152 209248 212992 257536 313872 319488 386304 418496 425984 515072 627744 638976 772608 836992 1030144 1255488 1277952 1545216 1673984 2060288 2510976 3090432 3347968 4120576 5021952 6180864 6695936 8241152 10043904 12361728 13391872 16482304 20087808 24723456 26783744 40175616 49446912 53567488 80351232 107134976 160702464 214269952 321404928 642809856