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57053754 = 2332371647
BaseRepresentation
bin1101100110100…
…1001000111010
310222100122001000
43121221020322
5104101210004
65354505430
71261643322
oct331511072
9128318030
1057053754
112a22936a
1217135276
13ba87c24
147812282
15501ec39
hex366923a

57053754 has 64 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 17907120.

The previous prime is 57053729. The next prime is 57053803. The reversal of 57053754 is 45735075.

57053754 is a `hidden beast` number, since 5 + 70 + 537 + 54 = 666.

57053754 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 31 ways as a sum of consecutive naturals, for example, 87859 + ... + 88505.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520).

Almost surely, 257053754 is an apocalyptic number.

57053754 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 57053754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

57053754 is an abundant number, since it is smaller than the sum of its proper divisors (77315526).

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

57053754 is a wasteful number, since it uses less digits than its factorization.

57053754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 57053754 is about 7553.3935419783. The cubic root of 57053754 is about 384.9710530887.

The spelling of 57053754 in words is "fifty-seven million, fifty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 71 138 142 207 213 414 426 621 639 647 1242 1278 1294 1633 1917 1941 3266 3834 3882 4899 5823 9798 11646 14697 14881 17469 29394 29762 34938 44091 44643 45937 88182 89286 91874 133929 137811 267858 275622 401787 413433 803574 826866 1056551 1240299 2113102 2480598 3169653 6339306 9508959 19017918 28526877 57053754