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54632942 = 27213193761
BaseRepresentation
bin1101000001101…
…0000111101110
310210210122022022
43100122013232
5102441223232
65230550142
71232241500
oct320320756
9123718268
1054632942
11289255a1
1216368352
13b41b0b0
147381d70
154be2812
hex341a1ee

54632942 has 96 divisors (see below), whose sum is σ = 112805280. Its totient is φ = 19595520.

The previous prime is 54632933. The next prime is 54632953. The reversal of 54632942 is 24923645.

54632942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 895592 + ... + 895652.

It is an arithmetic number, because the mean of its divisors is an integer number (1175055).

Almost surely, 254632942 is an apocalyptic number.

54632942 is an abundant number, since it is smaller than the sum of its proper divisors (58172338).

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

54632942 is a wasteful number, since it uses less digits than its factorization.

54632942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 54632942 is about 7391.4100143342. The cubic root of 54632942 is about 379.4473545555.

The spelling of 54632942 in words is "fifty-four million, six hundred thirty-two thousand, nine hundred forty-two".

Divisors: 1 2 7 13 14 19 26 37 38 49 61 74 91 98 122 133 182 247 259 266 427 481 494 518 637 703 793 854 931 962 1159 1274 1406 1586 1729 1813 1862 2257 2318 2989 3367 3458 3626 4514 4921 5551 5978 6734 8113 9139 9842 11102 12103 15067 15799 16226 18278 23569 24206 29341 30134 31598 34447 38857 42883 47138 56791 58682 63973 68894 77714 85766 105469 110593 113582 127946 205387 210938 221186 300181 410774 447811 557479 600362 738283 895622 1114958 1437709 1476566 2101267 2875418 3902353 4202534 7804706 27316471 54632942