Search a number
-
+
55941928 = 2373192937
BaseRepresentation
bin1101010101100…
…1101100101000
310220021010220021
43111121230220
5103310120203
65315010224
71246333000
oct325315450
9126233807
1055941928
1129639aa9
1216899974
13b788b43
147603000
154da05bd
hex3559b28

55941928 has 128 divisors (see below), whose sum is σ = 136800000. Its totient is φ = 21337344.

The previous prime is 55941913. The next prime is 55941967. The reversal of 55941928 is 82914955.

55941928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1511926 + ... + 1511962.

It is an arithmetic number, because the mean of its divisors is an integer number (1068750).

Almost surely, 255941928 is an apocalyptic number.

55941928 is a gapful number since it is divisible by the number (58) 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 55941928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400000).

55941928 is an abundant number, since it is smaller than the sum of its proper divisors (80858072).

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

55941928 is a wasteful number, since it uses less digits than its factorization.

55941928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The square root of 55941928 is about 7479.4336684003. The cubic root of 55941928 is about 382.4539435055.

The spelling of 55941928 in words is "fifty-five million, nine hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 29 37 38 49 56 58 74 76 98 116 133 148 152 196 203 232 259 266 296 343 392 406 518 532 551 686 703 812 931 1036 1064 1073 1102 1372 1406 1421 1624 1813 1862 2072 2146 2204 2744 2812 2842 3626 3724 3857 4292 4408 4921 5624 5684 6517 7252 7448 7511 7714 8584 9842 9947 11368 12691 13034 14504 15022 15428 19684 19894 20387 25382 26068 26999 30044 30856 34447 39368 39788 40774 50764 52136 52577 53998 60088 68894 79576 81548 101528 105154 107996 137788 142709 163096 188993 210308 215992 241129 275576 285418 368039 377986 420616 482258 570836 736078 755972 964516 998963 1141672 1472156 1511944 1929032 1997926 2944312 3995852 6992741 7991704 13985482 27970964 55941928