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5442624 = 263211859
BaseRepresentation
bin10100110000110001000000
3101020111212200
4110300301000
52343130444
6312353200
764155465
oct24606100
911214780
105442624
113088140
1219a5800
1311873b5
14a1966c
15727969
hex530c40

5442624 has 84 divisors (see below), whose sum is σ = 17038320. Its totient is φ = 1647360.

The previous prime is 5442581. The next prime is 5442629. The reversal of 5442624 is 4262445.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5442629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5907 + ... + 6765.

Almost surely, 25442624 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 5442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519160).

5442624 is an abundant number, since it is smaller than the sum of its proper divisors (11595696).

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

5442624 is a wasteful number, since it uses less digits than its factorization.

5442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 5442624 is about 2332.9432054810. The cubic root of 5442624 is about 175.9014599906.

The spelling of 5442624 in words is "five million, four hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 859 1056 1584 1718 2112 2577 3168 3436 5154 6336 6872 7731 9449 10308 13744 15462 18898 20616 27488 28347 30924 37796 41232 54976 56694 61848 75592 82464 85041 113388 123696 151184 164928 170082 226776 247392 302368 340164 453552 494784 604736 680328 907104 1360656 1814208 2721312 5442624