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55815552 = 2732133727
BaseRepresentation
bin1101010011101…
…0110110000000
310220000201112200
43110322312000
5103242044202
65312153200
71245265362
oct324726600
9126021480
1055815552
1129563061
1216838800
13b743470
1475acd32
154d77e1c
hex353ad80

55815552 has 96 divisors (see below), whose sum is σ = 173016480. Its totient is φ = 17169408.

The previous prime is 55815533. The next prime is 55815583. The reversal of 55815552 is 25551855.

55815552 is a `hidden beast` number, since 558 + 1 + 55 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13113 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (1802255).

Almost surely, 255815552 is an apocalyptic number.

55815552 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 55815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86508240).

55815552 is an abundant number, since it is smaller than the sum of its proper divisors (117200928).

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

55815552 is a wasteful number, since it uses less digits than its factorization.

55815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3745 counting only the distinct ones).

The product of its digits is 50000, while the sum is 36.

The square root of 55815552 is about 7470.9806585213. The cubic root of 55815552 is about 382.1657312903.

It can be divided in two parts, 558 and 15552, that added together give a triangular number (16110 = T179).

The spelling of 55815552 in words is "fifty-five million, eight hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3727 3744 4992 7454 7488 11181 14908 14976 22362 29816 33543 44724 48451 59632 67086 89448 96902 119264 134172 145353 178896 193804 238528 268344 290706 357792 387608 436059 477056 536688 581412 715584 775216 872118 1073376 1162824 1431168 1550432 1744236 2146752 2325648 3100864 3488472 4293504 4651296 6201728 6976944 9302592 13953888 18605184 27907776 55815552