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55210272 = 2531324183
BaseRepresentation
bin1101001010011…
…1000100100000
310211212222020220
43102213010200
5103113212042
65251203040
71240164615
oct322470440
9124788226
1055210272
112918a327
12165a6480
13b590b00
14749250c
154ca88ec
hex34a7120

55210272 has 144 divisors (see below), whose sum is σ = 162697248. Its totient is φ = 16373760.

The previous prime is 55210261. The next prime is 55210279. The reversal of 55210272 is 27201255.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55210279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665143 + ... + 665225.

It is an arithmetic number, because the mean of its divisors is an integer number (1129842).

Almost surely, 255210272 is an apocalyptic number.

55210272 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 55210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81348624).

55210272 is an abundant number, since it is smaller than the sum of its proper divisors (107486976).

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

55210272 is a wasteful number, since it uses less digits than its factorization.

55210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 55210272 is about 7430.3614986083. The cubic root of 55210272 is about 380.7792688147.

The spelling of 55210272 in words is "fifty-five million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 83 96 104 123 156 164 166 169 208 246 249 312 328 332 338 416 492 498 507 533 624 656 664 676 984 996 1014 1066 1079 1248 1312 1328 1352 1599 1968 1992 2028 2132 2158 2656 2704 3198 3237 3403 3936 3984 4056 4264 4316 5408 6396 6474 6806 6929 7968 8112 8528 8632 10209 12792 12948 13612 13858 14027 16224 17056 17264 20418 20787 25584 25896 27224 27716 28054 34528 40836 41574 42081 44239 51168 51792 54448 55432 56108 81672 83148 84162 88478 103584 108896 110864 112216 132717 163344 166296 168324 176956 221728 224432 265434 326688 332592 336648 353912 448864 530868 575107 665184 673296 707824 1061736 1150214 1346592 1415648 1725321 2123472 2300428 3450642 4246944 4600856 6901284 9201712 13802568 18403424 27605136 55210272