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428927520 = 25357127657
BaseRepresentation
bin11001100100001…
…110101000100000
31002220002202221110
4121210032220200
51334301140040
6110321223320
713425552360
oct3144165040
91086082843
10428927520
1120013365a
12bb791b40
136ab2c388
1440d749a0
15279c9980
hex1990ea20

428927520 has 96 divisors (see below), whose sum is σ = 1544151168. Its totient is φ = 98039808.

The previous prime is 428927503. The next prime is 428927533. The reversal of 428927520 is 25729824.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60469 + ... + 67188.

It is an arithmetic number, because the mean of its divisors is an integer number (16084908).

Almost surely, 2428927520 is an apocalyptic number.

428927520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428927520 is an abundant number, since it is smaller than the sum of its proper divisors (1115223648).

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

428927520 is a wasteful number, since it uses less digits than its factorization.

428927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127682 (or 127674 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 428927520 is about 20710.5654196113. The cubic root of 428927520 is about 754.1561966062.

The spelling of 428927520 in words is "four hundred twenty-eight million, nine hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 127657 255314 382971 510628 638285 765942 893599 1021256 1276570 1531884 1787198 1914855 2042512 2553140 2680797 3063768 3574396 3829710 4085024 4467995 5106280 5361594 6127536 7148792 7659420 8935990 10212560 10723188 12255072 13403985 14297584 15318840 17871980 20425120 21446376 26807970 28595168 30637680 35743960 42892752 53615940 61275360 71487920 85785504 107231880 142975840 214463760 428927520