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55112616 = 233313191033
BaseRepresentation
bin1101001000111…
…1001110101000
310211201000022000
43102033032220
5103102100431
65245131000
71236310116
oct322171650
9124630260
1055112616
1129122a19
1216559a60
13b558520
147468ab6
154c899e6
hex348f3a8

55112616 has 128 divisors (see below), whose sum is σ = 173712000. Its totient is φ = 16049664.

The previous prime is 55112611. The next prime is 55112639. The reversal of 55112616 is 61621155.

It is a happy number.

55112616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55112616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55112611) 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 31 ways as a sum of consecutive naturals, for example, 52836 + ... + 53868.

It is an arithmetic number, because the mean of its divisors is an integer number (1357125).

Almost surely, 255112616 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 55112616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86856000).

55112616 is an abundant number, since it is smaller than the sum of its proper divisors (118599384).

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

55112616 is a wasteful number, since it uses less digits than its factorization.

55112616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 55112616 is about 7423.7871736736. The cubic root of 55112616 is about 380.5546286948.

The spelling of 55112616 in words is "fifty-five million, one hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1033 1368 1404 1482 1976 2052 2066 2223 2808 2964 3099 4104 4132 4446 5928 6198 6669 8264 8892 9297 12396 13338 13429 17784 18594 19627 24792 26676 26858 27891 37188 39254 40287 53352 53716 55782 58881 74376 78508 80574 107432 111564 117762 120861 157016 161148 176643 223128 235524 241722 255151 322296 353286 362583 471048 483444 510302 529929 706572 725166 765453 966888 1020604 1059858 1413144 1450332 1530906 2041208 2119716 2296359 2900664 3061812 4239432 4592718 6123624 6889077 9185436 13778154 18370872 27556308 55112616