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5279472 = 2433112101
BaseRepresentation
bin10100001000111011110000
3100221020002000
4110020323300
52322420342
6305054000
762606022
oct24107360
910836060
105279472
112a86600
121927300
13112b063
149b6012
156e444c
hex508ef0

5279472 has 120 divisors (see below), whose sum is σ = 16821840. Its totient is φ = 1584000.

The previous prime is 5279453. The next prime is 5279501. The reversal of 5279472 is 2749725.

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

Its product of digits (35280) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52222 + ... + 52322.

It is an arithmetic number, because the mean of its divisors is an integer number (140182).

Almost surely, 25279472 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 5279472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410920).

5279472 is an abundant number, since it is smaller than the sum of its proper divisors (11542368).

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

5279472 is a wasteful number, since it uses less digits than its factorization.

5279472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 5279472 is about 2297.7101644899. The cubic root of 5279472 is about 174.1259492382.

It can be divided in two parts, 527 and 9472, that added together give a palindrome (9999).

The spelling of 5279472 in words is "five million, two hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 101 108 121 132 144 176 198 202 216 242 264 297 303 363 396 404 432 484 528 594 606 726 792 808 909 968 1089 1111 1188 1212 1452 1584 1616 1818 1936 2178 2222 2376 2424 2727 2904 3267 3333 3636 4356 4444 4752 4848 5454 5808 6534 6666 7272 8712 8888 9999 10908 12221 13068 13332 14544 17424 17776 19998 21816 24442 26136 26664 29997 36663 39996 43632 48884 52272 53328 59994 73326 79992 97768 109989 119988 146652 159984 195536 219978 239976 293304 329967 439956 479952 586608 659934 879912 1319868 1759824 2639736 5279472