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54392814 = 23274110529
BaseRepresentation
bin1100111101111…
…1011111101110
310210100102220200
43033133133232
5102411032224
65221454330
71230221430
oct317373756
9123312820
1054392814
1128781143
12162713a6
13b3659c8
14731c650
154b965c9
hex33df7ee

54392814 has 48 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 15160320.

The previous prime is 54392797. The next prime is 54392837. The reversal of 54392814 is 41829345.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 254392814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54392814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

54392814 is an abundant number, since it is smaller than the sum of its proper divisors (83592306).

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

54392814 is a wasteful number, since it uses less digits than its factorization.

54392814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585 (or 10582 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 54392814 is about 7375.1484052865. The cubic root of 54392814 is about 378.8906101457.

The spelling of 54392814 in words is "fifty-four million, three hundred ninety-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 10529 21058 31587 63174 73703 94761 147406 189522 221109 431689 442218 663327 863378 1295067 1326654 2590134 3021823 3885201 6043646 7770402 9065469 18130938 27196407 54392814