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54716634 = 2347261113
BaseRepresentation
bin1101000010111…
…0100011011010
310210221220010000
43100232203122
5103001413014
65232433430
71233040500
oct320564332
9123856100
1054716634
1128982465
12163a8876
13b44a20b
1473a4670
154c0c509
hex342e8da

54716634 has 120 divisors (see below), whose sum is σ = 146243988. Its totient is φ = 15240960.

The previous prime is 54716621. The next prime is 54716653. The reversal of 54716634 is 43661745.

It is a happy number.

54716634 is a `hidden beast` number, since 5 + 4 + 7 + 16 + 634 = 666.

54716634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 18896409 = 5985^2 + 4347^2 .

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 59 ways as a sum of consecutive naturals, for example, 484162 + ... + 484274.

Almost surely, 254716634 is an apocalyptic number.

54716634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54716634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73121994).

54716634 is an abundant number, since it is smaller than the sum of its proper divisors (91527354).

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

54716634 is a wasteful number, since it uses less digits than its factorization.

54716634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54716634 is about 7397.0692845207. The cubic root of 54716634 is about 379.6410136961.

The spelling of 54716634 in words is "fifty-four million, seven hundred sixteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 81 98 113 122 126 147 162 183 189 226 294 339 366 378 427 441 549 567 678 791 854 882 1017 1098 1134 1281 1323 1582 1647 2034 2373 2562 2646 2989 3051 3294 3843 3969 4746 4941 5537 5978 6102 6893 7119 7686 7938 8967 9153 9882 11074 11529 13786 14238 16611 17934 18306 20679 21357 23058 26901 33222 34587 41358 42714 48251 49833 53802 62037 64071 69174 80703 96502 99666 124074 128142 144753 149499 161406 186111 242109 289506 298998 337757 372222 434259 448497 484218 558333 675514 868518 896994 1013271 1116666 1302777 2026542 2605554 3039813 3908331 6079626 7816662 9119439 18238878 27358317 54716634