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54352704 = 2637371093
BaseRepresentation
bin1100111101010…
…1101101000000
310210021101220010
43033111231000
5102403241304
65220544520
71226663460
oct317255500
9123241803
1054352704
1128753a9a
1216252140
13b350683
14730bba0
154b89789
hex33d5b40

54352704 has 112 divisors (see below), whose sum is σ = 168948608. Its totient is φ = 15095808.

The previous prime is 54352693. The next prime is 54352717. The reversal of 54352704 is 40725345.

54352704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×543527042 = 5908432864223232, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 49182 + ... + 50274.

Almost surely, 254352704 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 54352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84474304).

54352704 is an abundant number, since it is smaller than the sum of its proper divisors (114595904).

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

54352704 is a wasteful number, since it uses less digits than its factorization.

54352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 54352704 is about 7372.4286364807. The cubic root of 54352704 is about 378.7974542160.

The spelling of 54352704 in words is "fifty-four million, three hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1093 1184 1344 1554 1776 2072 2186 2368 3108 3279 3552 4144 4372 6216 6558 7104 7651 8288 8744 12432 13116 15302 16576 17488 22953 24864 26232 30604 34976 40441 45906 49728 52464 61208 69952 80882 91812 104928 121323 122416 161764 183624 209856 242646 244832 283087 323528 367248 485292 489664 566174 647056 734496 849261 970584 1132348 1294112 1468992 1698522 1941168 2264696 2588224 3397044 3882336 4529392 6794088 7764672 9058784 13588176 18117568 27176352 54352704