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642850472 = 231131713319
BaseRepresentation
bin100110010100010…
…001111010101000
31122210122012001202
4212110101322220
52304032203342
6143442303332
721634065425
oct4624217250
91583565052
10642850472
112aa966090
1215b357b48
13a324c9c4
146153cd4c
153b684332
hex26511ea8

642850472 has 64 divisors (see below), whose sum is σ = 1376870400. Its totient is φ = 278712000.

The previous prime is 642850463. The next prime is 642850487. The reversal of 642850472 is 274058246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192029 + ... + 195347.

It is an arithmetic number, because the mean of its divisors is an integer number (21513600).

Almost surely, 2642850472 is an apocalyptic number.

642850472 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 642850472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688435200).

642850472 is an abundant number, since it is smaller than the sum of its proper divisors (734019928).

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

642850472 is a wasteful number, since it uses less digits than its factorization.

642850472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 642850472 is about 25354.4960904373. The cubic root of 642850472 is about 863.0513887137.

The spelling of 642850472 in words is "six hundred forty-two million, eight hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 71 88 124 142 248 284 341 568 682 781 1364 1562 2201 2728 3124 3319 4402 6248 6638 8804 13276 17608 24211 26552 36509 48422 73018 96844 102889 146036 193688 205778 235649 292072 411556 471298 823112 942596 1131779 1885192 2263558 2592139 4527116 5184278 7305119 9054232 10368556 14610238 20737112 29220476 58440952 80356309 160712618 321425236 642850472