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5439456 = 25321117101
BaseRepresentation
bin10100101111111111100000
3101020100112100
4110233333200
52343030311
6312330400
764143321
oct24577740
911210470
105439456
113085820
1219a3a00
131185b19
14a18448
15726a56
hex52ffe0

5439456 has 144 divisors (see below), whose sum is σ = 18044208. Its totient is φ = 1536000.

The previous prime is 5439433. The next prime is 5439461. The reversal of 5439456 is 6549345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 5 + 4 + 314 + 96 + 44 + 57 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 5439456.

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, 53806 + ... + 53906.

It is an arithmetic number, because the mean of its divisors is an integer number (125307).

Almost surely, 25439456 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 5439456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104).

5439456 is an abundant number, since it is smaller than the sum of its proper divisors (12604752).

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

5439456 is a wasteful number, since it uses less digits than its factorization.

5439456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5439456 is about 2332.2641359846. The cubic root of 5439456 is about 175.8673242513.

It can be divided in two parts, 543 and 9456, that added together give a palindrome (9999).

The spelling of 5439456 in words is "five million, four hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 101 102 132 136 144 153 176 187 198 202 204 264 272 288 303 306 352 374 396 404 408 528 544 561 606 612 748 792 808 816 909 1056 1111 1122 1212 1224 1496 1584 1616 1632 1683 1717 1818 2222 2244 2424 2448 2992 3168 3232 3333 3366 3434 3636 4444 4488 4848 4896 5151 5984 6666 6732 6868 7272 8888 8976 9696 9999 10302 13332 13464 13736 14544 15453 17776 17952 18887 19998 20604 26664 26928 27472 29088 30906 35552 37774 39996 41208 53328 53856 54944 56661 61812 75548 79992 82416 106656 113322 123624 151096 159984 164832 169983 226644 247248 302192 319968 339966 453288 494496 604384 679932 906576 1359864 1813152 2719728 5439456