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55689088 = 277213683
BaseRepresentation
bin1101010001101…
…1111110000000
310212210022001211
43110123332000
5103224022323
65305335504
71244230600
oct324337600
9125708054
1055689088
1129487044
1216797594
13b6caa30
147578c00
154d5070d
hex351bf80

55689088 has 96 divisors (see below), whose sum is σ = 139187160. Its totient is φ = 21998592.

The previous prime is 55689071. The next prime is 55689089. The reversal of 55689088 is 88098655.

55689088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55689089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81195 + ... + 81877.

Almost surely, 255689088 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 55689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593580).

55689088 is an abundant number, since it is smaller than the sum of its proper divisors (83498072).

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

55689088 is a wasteful number, since it uses less digits than its factorization.

55689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The square root of 55689088 is about 7462.5121775445. The cubic root of 55689088 is about 381.8768825574.

The spelling of 55689088 in words is "fifty-five million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 683 728 784 832 896 1274 1366 1456 1568 1664 2548 2732 2912 3136 4781 5096 5464 5824 6272 8879 9562 10192 10928 11648 17758 19124 20384 21856 33467 35516 38248 40768 43712 62153 66934 71032 76496 81536 87424 124306 133868 142064 152992 248612 267736 284128 305984 435071 497224 535472 568256 611968 870142 994448 1070944 1136512 1740284 1988896 2141888 3480568 3977792 4283776 6961136 7955584 13922272 27844544 55689088