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527490420 = 223531416917
BaseRepresentation
bin11111011100001…
…101110101110100
31100202120021211020
4133130031311310
52040014143140
6124201541140
716033410642
oct3734156564
91322507736
10527490420
112508333a6
121287a47b0
138538ba12
14500b0192
15314986d0
hex1f70dd74

527490420 has 96 divisors (see below), whose sum is σ = 1562029056. Its totient is φ = 132787200.

The previous prime is 527490401. The next prime is 527490473. The reversal of 527490420 is 24094725.

It is a super-2 number, since 2×5274904202 = 556492286383552800, which contains 22 as substring.

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, 72802 + ... + 79718.

It is an arithmetic number, because the mean of its divisors is an integer number (16271136).

Almost surely, 2527490420 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 527490420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781014528).

527490420 is an abundant number, since it is smaller than the sum of its proper divisors (1034538636).

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

527490420 is a wasteful number, since it uses less digits than its factorization.

527490420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 527490420 is about 22967.1595979999. The cubic root of 527490420 is about 807.9879033741.

The spelling of 527490420 in words is "five hundred twenty-seven million, four hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 6355 6917 7626 12710 13834 15252 19065 20751 25420 27668 34585 38130 41502 69170 76260 83004 103755 138340 207510 214427 283597 415020 428854 567194 643281 850791 857708 1072135 1134388 1286562 1417985 1701582 2144270 2573124 2835970 3216405 3403164 4253955 4288540 5671940 6432810 8507910 8791507 12865620 17015820 17583014 26374521 35166028 43957535 52749042 87915070 105498084 131872605 175830140 263745210 527490420