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55253408 = 2573173109
BaseRepresentation
bin1101001011000…
…1100110100000
310211222011102112
43102301212200
5103121102113
65252134452
71240434440
oct322614640
9124864375
1055253408
1129209781
1216607428
13b5a7632
1474a4120
154cb65a8
hex34b19a0

55253408 has 96 divisors (see below), whose sum is σ = 131281920. Its totient is φ = 22394880.

The previous prime is 55253371. The next prime is 55253411. The reversal of 55253408 is 80435255.

It is a super-2 number, since 2×552534082 = 6105878191228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506858 + ... + 506966.

It is an arithmetic number, because the mean of its divisors is an integer number (1367520).

Almost surely, 255253408 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 55253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65640960).

55253408 is an abundant number, since it is smaller than the sum of its proper divisors (76028512).

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

55253408 is a wasteful number, since it uses less digits than its factorization.

55253408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 55253408 is about 7433.2636170124. The cubic root of 55253408 is about 380.8784111064.

The spelling of 55253408 in words is "fifty-five million, two hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 73 109 112 124 146 217 218 224 248 292 434 436 496 511 584 763 868 872 992 1022 1168 1526 1736 1744 2044 2263 2336 3052 3379 3472 3488 4088 4526 6104 6758 6944 7957 8176 9052 12208 13516 15841 15914 16352 18104 23653 24416 27032 31682 31828 36208 47306 54064 55699 63364 63656 72416 94612 108128 111398 126728 127312 189224 222796 246667 253456 254624 378448 445592 493334 506912 756896 891184 986668 1726669 1782368 1973336 3453338 3946672 6906676 7893344 13813352 27626704 55253408