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5195904 = 27371933
BaseRepresentation
bin10011110100100010000000
3100202222102220
4103310202000
52312232104
6303211040
762110260
oct23644200
910688386
105195904
112a2983a
1218a6a80
1310cbccc
149937a0
156c97d9
hex4f4880

5195904 has 64 divisors (see below), whose sum is σ = 15781440. Its totient is φ = 1483776.

The previous prime is 5195903. The next prime is 5195923. The reversal of 5195904 is 4095915.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5195903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (246585).

Almost surely, 25195904 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 5195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890720).

5195904 is an abundant number, since it is smaller than the sum of its proper divisors (10585536).

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

5195904 is a wasteful number, since it uses less digits than its factorization.

5195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 5195904 is about 2279.4525658587. The cubic root of 5195904 is about 173.2023204606.

The spelling of 5195904 in words is "five million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1933 2688 3866 5799 7732 11598 13531 15464 23196 27062 30928 40593 46392 54124 61856 81186 92784 108248 123712 162372 185568 216496 247424 324744 371136 432992 649488 742272 865984 1298976 1731968 2597952 5195904