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55023084 = 223317231303
BaseRepresentation
bin1101000111100…
…1010111101100
310211112110111000
43101321113230
5103041214314
65243200300
71235455104
oct321712754
9124473430
1055023084
1129071726
1216516090
13b52684c
147444204
154c6d209
hex34795ec

55023084 has 96 divisors (see below), whose sum is σ = 157731840. Its totient is φ = 16498944.

The previous prime is 55023077. The next prime is 55023119. The reversal of 55023084 is 48032055.

55023084 is a `hidden beast` number, since 550 + 2 + 30 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41577 + ... + 42879.

It is an arithmetic number, because the mean of its divisors is an integer number (1643040).

Almost surely, 255023084 is an apocalyptic number.

55023084 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 55023084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865920).

55023084 is an abundant number, since it is smaller than the sum of its proper divisors (102708756).

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

55023084 is a wasteful number, since it uses less digits than its factorization.

55023084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55023084 is about 7417.7546467917. The cubic root of 55023084 is about 380.3484430917.

The spelling of 55023084 in words is "fifty-five million, twenty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1303 1564 1836 2346 2484 2606 3519 3909 4692 5212 7038 7818 10557 11727 14076 15636 21114 22151 23454 29969 35181 42228 44302 46908 59938 66453 70362 88604 89907 119876 132906 140724 179814 199359 265812 269721 359628 398718 509473 539442 598077 797436 809163 1018946 1078884 1196154 1528419 1618326 2037892 2392308 3056838 3236652 4585257 6113676 9170514 13755771 18341028 27511542 55023084