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55428624 = 2434192251
BaseRepresentation
bin1101001101110…
…0011000010000
310212022001210000
43103130120100
5103142203444
65300010000
71242064326
oct323343020
9125261700
1055428624
1129319389
1216690900
13b639304
14750bd16
154ced469
hex34dc610

55428624 has 100 divisors (see below), whose sum is σ = 168945040. Its totient is φ = 17496000.

The previous prime is 55428623. The next prime is 55428767. The reversal of 55428624 is 42682455.

It is a happy number.

55428624 is a `hidden beast` number, since 5 + 5 + 4 + 28 + 624 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55428623) 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 19 ways as a sum of consecutive naturals, for example, 23499 + ... + 25749.

Almost surely, 255428624 is an apocalyptic number.

55428624 is a gapful number since it is divisible by the number (54) 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 55428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84472520).

55428624 is an abundant number, since it is smaller than the sum of its proper divisors (113516416).

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

55428624 is a wasteful number, since it uses less digits than its factorization.

55428624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2275 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55428624 is about 7445.0402282325. The cubic root of 55428624 is about 381.2805918657.

The spelling of 55428624 in words is "fifty-five million, four hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2251 2736 3078 4104 4502 6156 6753 8208 9004 12312 13506 18008 20259 24624 27012 36016 40518 42769 54024 60777 81036 85538 108048 121554 128307 162072 171076 182331 243108 256614 324144 342152 364662 384921 486216 513228 684304 729324 769842 972432 1026456 1154763 1458648 1539684 2052912 2309526 2917296 3079368 3464289 4619052 6158736 6928578 9238104 13857156 18476208 27714312 55428624