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55266432 = 2731311071
BaseRepresentation
bin1101001011010…
…0110010000000
310211222211021220
43102310302000
5103122011212
65252315040
71240520424
oct322646200
9124884256
1055266432
1129218541
1216612a80
13b5b0540
1474a8b84
154cba38c
hex34b4c80

55266432 has 64 divisors (see below), whose sum is σ = 158108160. Its totient is φ = 17003520.

The previous prime is 55266389. The next prime is 55266451. The reversal of 55266432 is 23466255.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 55266393 and 55266402.

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, 544 + ... + 10527.

It is an arithmetic number, because the mean of its divisors is an integer number (2470440).

Almost surely, 255266432 is an apocalyptic number.

55266432 is a gapful number since it is divisible by the number (52) 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 55266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79054080).

55266432 is an abundant number, since it is smaller than the sum of its proper divisors (102841728).

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

55266432 is a wasteful number, since it uses less digits than its factorization.

55266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101 (or 11089 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 55266432 is about 7434.1396274216. The cubic root of 55266432 is about 380.9083348758.

The spelling of 55266432 in words is "fifty-five million, two hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 11071 22142 33213 44284 66426 88568 132852 143923 177136 265704 287846 354272 431769 531408 575692 708544 863538 1062816 1151384 1417088 1727076 2125632 2302768 3454152 4251264 4605536 6908304 9211072 13816608 18422144 27633216 55266432