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642428280 = 233351345757
BaseRepresentation
bin100110010010101…
…010110101111000
31122202211201221000
4212102222311320
52303430201110
6143425245000
721630356514
oct4622526570
91582751830
10642428280
112aa6a796a
1215b193760
13a31327a0
146146d144
153b5ee1c0
hex264aad78

642428280 has 128 divisors (see below), whose sum is σ = 2306203200. Its totient is φ = 158132736.

The previous prime is 642428273. The next prime is 642428333. The reversal of 642428280 is 82824246.

It is a happy number.

642428280 is a `hidden beast` number, since 642 + 4 + 2 + 8 + 2 + 8 + 0 = 666.

642428280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8839 + ... + 36918.

Almost surely, 2642428280 is an apocalyptic number.

642428280 is a gapful number since it is divisible by the number (60) 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 642428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153101600).

642428280 is an abundant number, since it is smaller than the sum of its proper divisors (1663774920).

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

642428280 is a wasteful number, since it uses less digits than its factorization.

642428280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45790 (or 45780 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 642428280 is about 25346.1689412818. The cubic root of 642428280 is about 862.8624110254.

The spelling of 642428280 in words is "six hundred forty-two million, four hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 45757 91514 137271 183028 228785 274542 366056 411813 457570 549084 594841 686355 823626 915140 1098168 1189682 1235439 1372710 1647252 1784523 1830280 2059065 2379364 2470878 2745420 2974205 3294504 3569046 4118130 4758728 4941756 5353569 5490840 5948410 6177195 7138092 8236260 8922615 9883512 10707138 11896820 12354390 14276184 16060707 16472520 17845230 21414276 23793640 24708780 26767845 32121414 35690460 42828552 49417560 53535690 64242828 71380920 80303535 107071380 128485656 160607070 214142760 321214140 642428280