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55334760 = 23351379449
BaseRepresentation
bin1101001100010…
…1011101101000
310212010022000120
43103011131220
5103131203020
65254003240
71241223555
oct323053550
9125108016
1055334760
1129264908
1216646520
13b605680
1474c5a2c
154cd0740
hex34c5768

55334760 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 13418496.

The previous prime is 55334759. The next prime is 55334761. The reversal of 55334760 is 6743355.

55334760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55334759) and next prime (55334761).

It is not an unprimeable number, because it can be changed into a prime (55334761) 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, 123016 + ... + 123464.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 255334760 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 55334760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

55334760 is an abundant number, since it is smaller than the sum of its proper divisors (126105240).

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

55334760 is a wasteful number, since it uses less digits than its factorization.

55334760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 55334760 is about 7438.7337632153. The cubic root of 55334760 is about 381.0652474005.

The spelling of 55334760 in words is "fifty-five million, three hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 79 104 120 130 156 158 195 237 260 312 316 390 395 449 474 520 632 780 790 898 948 1027 1185 1347 1560 1580 1796 1896 2054 2245 2370 2694 3081 3160 3592 4108 4490 4740 5135 5388 5837 6162 6735 8216 8980 9480 10270 10776 11674 12324 13470 15405 17511 17960 20540 23348 24648 26940 29185 30810 35022 35471 41080 46696 53880 58370 61620 70044 70942 87555 106413 116740 123240 140088 141884 175110 177355 212826 233480 283768 350220 354710 425652 461123 532065 700440 709420 851304 922246 1064130 1383369 1418840 1844492 2128260 2305615 2766738 3688984 4256520 4611230 5533476 6916845 9222460 11066952 13833690 18444920 27667380 55334760