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532427820 = 2235291571949
BaseRepresentation
bin11111101111000…
…011010000101100
31101002212010122220
4133233003100230
52042300142240
6124455435340
716123363461
oct3757032054
91332763586
10532427820
112535a59a1
1212a385b50
13863ca162
14509d7668
1531b215d0
hex1fbc342c

532427820 has 96 divisors (see below), whose sum is σ = 1552824000. Its totient is φ = 136141824.

The previous prime is 532427807. The next prime is 532427839. The reversal of 532427820 is 28724235.

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, 272206 + ... + 274154.

It is an arithmetic number, because the mean of its divisors is an integer number (16175250).

Almost surely, 2532427820 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 532427820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776412000).

532427820 is an abundant number, since it is smaller than the sum of its proper divisors (1020396180).

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

532427820 is a wasteful number, since it uses less digits than its factorization.

532427820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 532427820 is about 23074.3975002599. The cubic root of 532427820 is about 810.5010465013.

The spelling of 532427820 in words is "five hundred thirty-two million, four hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 157 174 290 314 348 435 471 580 628 785 870 942 1570 1740 1884 1949 2355 3140 3898 4553 4710 5847 7796 9106 9420 9745 11694 13659 18212 19490 22765 23388 27318 29235 38980 45530 54636 56521 58470 68295 91060 113042 116940 136590 169563 226084 273180 282605 305993 339126 565210 611986 678252 847815 917979 1130420 1223972 1529965 1695630 1835958 3059930 3391260 3671916 4589895 6119860 8873797 9179790 17747594 18359580 26621391 35495188 44368985 53242782 88737970 106485564 133106955 177475940 266213910 532427820