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5472864 = 253231613
BaseRepresentation
bin10100111000001001100000
3101022001100200
4110320021200
52400112424
6313145200
764342605
oct24701140
911261320
105472864
1130a8931
1219bb200
1311980a7
14a266ac
157318c9
hex538260

5472864 has 72 divisors (see below), whose sum is σ = 16091712. Its totient is φ = 1762560.

The previous prime is 5472853. The next prime is 5472881. The reversal of 5472864 is 4682745.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8622 + ... + 9234.

It is an arithmetic number, because the mean of its divisors is an integer number (223496).

Almost surely, 25472864 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 5472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045856).

5472864 is an abundant number, since it is smaller than the sum of its proper divisors (10618848).

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

5472864 is a wasteful number, since it uses less digits than its factorization.

5472864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5472864 is about 2339.4153115683. The cubic root of 5472864 is about 176.2266364081.

It can be divided in two parts, 5472 and 864, that added together give a palindrome (6336).

The spelling of 5472864 in words is "five million, four hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 613 744 992 1116 1226 1488 1839 2232 2452 2976 3678 4464 4904 5517 7356 8928 9808 11034 14712 19003 19616 22068 29424 38006 44136 57009 58848 76012 88272 114018 152024 171027 176544 228036 304048 342054 456072 608096 684108 912144 1368216 1824288 2736432 5472864