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5009472 = 263313223
BaseRepresentation
bin10011000111000001000000
3100102111201000
4103013001000
52240300342
6255212000
760402606
oct23070100
910374630
105009472
112911766
121817000
1310651b0
14945876
1568e44c
hex4c7040

5009472 has 112 divisors (see below), whose sum is σ = 15930880. Its totient is φ = 1534464.

The previous prime is 5009471. The next prime is 5009491. The reversal of 5009472 is 2749005.

5009472 is a `hidden beast` number, since 500 + 94 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5009471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22353 + ... + 22575.

It is an arithmetic number, because the mean of its divisors is an integer number (142240).

Almost surely, 25009472 is an apocalyptic number.

5009472 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 5009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965440).

5009472 is an abundant number, since it is smaller than the sum of its proper divisors (10921408).

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

5009472 is a wasteful number, since it uses less digits than its factorization.

5009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5009472 is about 2238.1849789506. The cubic root of 5009472 is about 171.1055058351.

The spelling of 5009472 in words is "five million, nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 223 234 288 312 351 416 432 446 468 576 624 669 702 832 864 892 936 1248 1338 1404 1728 1784 1872 2007 2496 2676 2808 2899 3568 3744 4014 5352 5616 5798 6021 7136 7488 8028 8697 10704 11232 11596 12042 14272 16056 17394 21408 22464 23192 24084 26091 32112 34788 42816 46384 48168 52182 64224 69576 78273 92768 96336 104364 128448 139152 156546 185536 192672 208728 278304 313092 385344 417456 556608 626184 834912 1252368 1669824 2504736 5009472