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55352484 = 22351131167
BaseRepresentation
bin1101001100100…
…1110010100100
310212011012100000
43103021302210
5103132234414
65254221300
71241326335
oct323116244
9125135300
1055352484
1129277160
1216654830
13b610765
1474cc28c
154cd5b09
hex34c9ca4

55352484 has 144 divisors (see below), whose sum is σ = 164376576. Its totient is φ = 16135200.

The previous prime is 55352461. The next prime is 55352533. The reversal of 55352484 is 48425355.

55352484 is a `hidden beast` number, since 5 + 53 + 524 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331369 + ... + 331535.

It is an arithmetic number, because the mean of its divisors is an integer number (1141504).

Almost surely, 255352484 is an apocalyptic number.

55352484 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 55352484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188288).

55352484 is an abundant number, since it is smaller than the sum of its proper divisors (109024092).

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

55352484 is a wasteful number, since it uses less digits than its factorization.

55352484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 55352484 is about 7439.9249996220. The cubic root of 55352484 is about 381.1059287580.

The spelling of 55352484 in words is "fifty-five million, three hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 167 186 198 243 279 297 324 334 341 372 396 486 501 558 594 668 682 837 891 972 1002 1023 1116 1188 1364 1503 1674 1782 1837 2004 2046 2511 2673 3006 3069 3348 3564 3674 4092 4509 5022 5177 5346 5511 6012 6138 7348 7533 9018 9207 10044 10354 10692 11022 12276 13527 15066 15531 16533 18036 18414 20708 22044 27054 27621 30132 31062 33066 36828 40581 46593 49599 54108 55242 56947 62124 66132 81162 82863 93186 99198 110484 113894 139779 148797 162324 165726 170841 186372 198396 227788 279558 297594 331452 341682 419337 446391 512523 559116 595188 683364 838674 892782 1025046 1258011 1537569 1677348 1785564 2050092 2516022 3075138 4612707 5032044 6150276 9225414 13838121 18450828 27676242 55352484