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5434624 = 28132371
BaseRepresentation
bin10100101110110100000000
3101020002220101
4110232310000
52342401444
6312252144
764123246
oct24566400
911202811
105434624
113082128
1219a1054
131183870
14a16796
157253d4
hex52ed00

5434624 has 72 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 2365440.

The previous prime is 5434603. The next prime is 5434633. The reversal of 5434624 is 4264345.

It is a junction number, because it is equal to n+sod(n) for n = 5434592 and 5434601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76509 + ... + 76579.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 25434624 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 5434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

5434624 is an abundant number, since it is smaller than the sum of its proper divisors (6927488).

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

5434624 is a wasteful number, since it uses less digits than its factorization.

5434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 5434624 is about 2331.2280025772. The cubic root of 5434624 is about 175.8152330946.

Adding to 5434624 its reverse (4264345), we get a palindrome (9698969).

The spelling of 5434624 in words is "five million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 71 92 104 128 142 184 208 256 284 299 368 416 568 598 736 832 923 1136 1196 1472 1633 1664 1846 2272 2392 2944 3266 3328 3692 4544 4784 5888 6532 7384 9088 9568 13064 14768 18176 19136 21229 26128 29536 38272 42458 52256 59072 76544 84916 104512 118144 169832 209024 236288 339664 418048 679328 1358656 2717312 5434624