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5630592 = 273113143
BaseRepresentation
bin10101011110101010000000
3101121001201110
4111132222000
52420134332
6320403320
765600502
oct25365200
911531643
105630592
1131a6390
121a76540
131221b16
14a67d72
157634cc
hex55ea80

5630592 has 128 divisors (see below), whose sum is σ = 17233920. Its totient is φ = 1612800.

The previous prime is 5630591. The next prime is 5630617. The reversal of 5630592 is 2950365.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×56305923 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5630591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130923 + ... + 130965.

It is an arithmetic number, because the mean of its divisors is an integer number (134640).

Almost surely, 25630592 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 5630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616960).

5630592 is an abundant number, since it is smaller than the sum of its proper divisors (11603328).

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

5630592 is a wasteful number, since it uses less digits than its factorization.

5630592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5630592 is about 2372.8868493883. The cubic root of 5630592 is about 177.9035794759.

The spelling of 5630592 in words is "five million, six hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 43 44 48 62 64 66 86 88 93 96 124 128 129 132 172 176 186 192 248 258 264 341 344 352 372 384 473 496 516 528 682 688 704 744 946 992 1023 1032 1056 1333 1364 1376 1408 1419 1488 1892 1984 2046 2064 2112 2666 2728 2752 2838 2976 3784 3968 3999 4092 4128 4224 5332 5456 5504 5676 5952 7568 7998 8184 8256 10664 10912 11352 11904 14663 15136 15996 16368 16512 21328 21824 22704 29326 30272 31992 32736 42656 43648 43989 45408 58652 60544 63984 65472 85312 87978 90816 117304 127968 130944 170624 175956 181632 234608 255936 351912 469216 511872 703824 938432 1407648 1876864 2815296 5630592