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5156928 = 263271279
BaseRepresentation
bin10011101011000001000000
3100200222222100
4103223001000
52310010203
6302310400
761555530
oct23530100
910628870
105156928
112a02527
121888400
1310b734a
149834c0
156bcea3
hex4eb040

5156928 has 84 divisors (see below), whose sum is σ = 16906240. Its totient is φ = 1472256.

The previous prime is 5156917. The next prime is 5156929. The reversal of 5156928 is 8296515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5156892 and 5156901.

It is not an unprimeable number, because it can be changed into a prime (5156929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3393 + ... + 4671.

Almost surely, 25156928 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 5156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453120).

5156928 is an abundant number, since it is smaller than the sum of its proper divisors (11749312).

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

5156928 is a wasteful number, since it uses less digits than its factorization.

5156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1291 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5156928 is about 2270.8870513524. The cubic root of 5156928 is about 172.7681525670.

It can be divided in two parts, 5156 and 928, that added together give a square (6084 = 782).

The spelling of 5156928 in words is "five million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1279 1344 2016 2558 3837 4032 5116 7674 8953 10232 11511 15348 17906 20464 23022 26859 30696 35812 40928 46044 53718 61392 71624 80577 81856 92088 107436 122784 143248 161154 184176 214872 245568 286496 322308 368352 429744 572992 644616 736704 859488 1289232 1718976 2578464 5156928