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55548948 = 2237213343
BaseRepresentation
bin1101001111100…
…1110000010100
310212112011211110
43103321300110
5103210031243
65302335020
71243105200
oct323716024
9125464743
1055548948
11293a0824
121672a470
13b67c000
14753db00
154d23e33
hex34f9c14

55548948 has 144 divisors (see below), whose sum is σ = 167133120. Its totient is φ = 14309568.

The previous prime is 55548947. The next prime is 55548959. The reversal of 55548948 is 84984555.

55548948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55548897 and 55548906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55548947) 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 47 ways as a sum of consecutive naturals, for example, 1291815 + ... + 1291857.

Almost surely, 255548948 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 55548948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566560).

55548948 is an abundant number, since it is smaller than the sum of its proper divisors (111584172).

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

55548948 is a wasteful number, since it uses less digits than its factorization.

55548948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 55548948 is about 7453.1166635174. The cubic root of 55548948 is about 381.5562860588.

The spelling of 55548948 in words is "fifty-five million, five hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 49 52 78 84 86 91 98 129 147 156 169 172 182 196 258 273 294 301 338 364 507 516 546 559 588 602 637 676 903 1014 1092 1118 1183 1204 1274 1677 1806 1911 2028 2107 2197 2236 2366 2548 3354 3549 3612 3822 3913 4214 4394 4732 6321 6591 6708 7098 7267 7644 7826 8281 8428 8788 11739 12642 13182 14196 14534 15379 15652 16562 21801 23478 24843 25284 26364 27391 29068 30758 33124 43602 46137 46956 49686 50869 54782 61516 82173 87204 92274 94471 99372 101738 107653 109564 152607 164346 184548 188942 203476 215306 283413 305214 322959 328692 356083 377884 430612 566826 610428 645918 661297 712166 1068249 1133652 1291836 1322594 1424332 1983891 2136498 2645188 3967782 4272996 4629079 7935564 9258158 13887237 18516316 27774474 55548948