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5007864 = 2333153127
BaseRepresentation
bin10011000110100111111000
3100102102111110
4103012213320
52240222424
6255200320
760365121
oct23064770
910372443
105007864
112910534
1218160a0
131064544
14945048
1568dc29
hex4c69f8

5007864 has 64 divisors (see below), whose sum is σ = 13271040. Its totient is φ = 1572480.

The previous prime is 5007853. The next prime is 5007881. The reversal of 5007864 is 4687005.

5007864 = T32 + T33 + ... + T310.

It is a happy number.

5007864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39369 + ... + 39495.

It is an arithmetic number, because the mean of its divisors is an integer number (207360).

Almost surely, 25007864 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 5007864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635520).

5007864 is an abundant number, since it is smaller than the sum of its proper divisors (8263176).

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

5007864 is a wasteful number, since it uses less digits than its factorization.

5007864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5007864 is about 2237.8257304804. The cubic root of 5007864 is about 171.0871960480.

The spelling of 5007864 in words is "five million, seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 127 159 186 212 248 254 318 372 381 424 508 636 744 762 1016 1272 1524 1643 3048 3286 3937 4929 6572 6731 7874 9858 11811 13144 13462 15748 19716 20193 23622 26924 31496 39432 40386 47244 53848 80772 94488 161544 208661 417322 625983 834644 1251966 1669288 2503932 5007864