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5478624 = 253317373
BaseRepresentation
bin10100111001100011100000
3101022100021000
4110321203200
52400303444
6313232000
764365444
oct24714340
911270230
105478624
113102198
121a02600
13119a8b8
14a28824
15733469
hex5398e0

5478624 has 96 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 1714176.

The previous prime is 5478617. The next prime is 5478637. The reversal of 5478624 is 4268745.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 14502 + ... + 14874.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 25478624 is an apocalyptic number.

5478624 is a gapful number since it is divisible by the number (54) 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 5478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

5478624 is an abundant number, since it is smaller than the sum of its proper divisors (11486016).

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

5478624 is a wasteful number, since it uses less digits than its factorization.

5478624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

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

The square root of 5478624 is about 2340.6460646582. The cubic root of 5478624 is about 176.2884388773.

The spelling of 5478624 in words is "five million, four hundred seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 373 408 432 459 544 612 746 816 864 918 1119 1224 1492 1632 1836 2238 2448 2984 3357 3672 4476 4896 5968 6341 6714 7344 8952 10071 11936 12682 13428 14688 17904 19023 20142 25364 26856 35808 38046 40284 50728 53712 57069 76092 80568 101456 107424 114138 152184 161136 171207 202912 228276 304368 322272 342414 456552 608736 684828 913104 1369656 1826208 2739312 5478624