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564103332 = 2233133710859
BaseRepresentation
bin100001100111111…
…000100010100100
31110022110102022000
4201213320202210
52123402301312
6131550405300
716656541062
oct4147704244
91408412260
10564103332
1126a470201
12138b00830
138cb3a970
1454cc1032
15347cbadc
hex219f88a4

564103332 has 96 divisors (see below), whose sum is σ = 1617705600. Its totient is φ = 168863616.

The previous prime is 564103321. The next prime is 564103343. The reversal of 564103332 is 233301465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (564103321) and next prime (564103343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 564103296 and 564103305.

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 31 ways as a sum of consecutive naturals, for example, 46519 + ... + 57377.

It is an arithmetic number, because the mean of its divisors is an integer number (16851100).

Almost surely, 2564103332 is an apocalyptic number.

564103332 is a gapful number since it is divisible by the number (52) 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 564103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808852800).

564103332 is an abundant number, since it is smaller than the sum of its proper divisors (1053602268).

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

564103332 is a wasteful number, since it uses less digits than its factorization.

564103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 564103332 is about 23750.8596054964. The cubic root of 564103332 is about 826.2653771924.

Adding to 564103332 its reverse (233301465), we get a palindrome (797404797).

The spelling of 564103332 in words is "five hundred sixty-four million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1404 1443 1924 1998 2886 3996 4329 5772 8658 10859 12987 17316 21718 25974 32577 43436 51948 65154 97731 130308 141167 195462 282334 293193 390924 401783 423501 564668 586386 803566 847002 1172772 1205349 1270503 1607132 1694004 2410698 2541006 3616047 3811509 4821396 5082012 5223179 7232094 7623018 10446358 10848141 14464188 15246036 15669537 20892716 21696282 31339074 43392564 47008611 62678148 94017222 141025833 188034444 282051666 564103332