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55362272 = 257892777
BaseRepresentation
bin1101001100110…
…0001011100000
310212011200202112
43103030023200
5103133043042
65254334452
71241400020
oct323141340
9125150675
1055362272
1129283549
121665a428
13b615054
1474d1a80
154cd8982
hex34cc2e0

55362272 has 48 divisors (see below), whose sum is σ = 126010080. Its totient is φ = 23451648.

The previous prime is 55362271. The next prime is 55362283. The reversal of 55362272 is 27226355.

It is a super-2 number, since 2×553622722 = 6129962322003968, 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 not an unprimeable number, because it can be changed into a prime (55362271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18548 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (2625210).

Almost surely, 255362272 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 55362272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63005040).

55362272 is an abundant number, since it is smaller than the sum of its proper divisors (70647808).

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

55362272 is a wasteful number, since it uses less digits than its factorization.

55362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2875 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 55362272 is about 7440.5827728747. The cubic root of 55362272 is about 381.1283911343.

The spelling of 55362272 in words is "fifty-five million, three hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2777 2848 4984 5554 9968 11108 19439 19936 22216 38878 44432 77756 88864 155512 247153 311024 494306 622048 988612 1730071 1977224 3460142 3954448 6920284 7908896 13840568 27681136 55362272