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57054756 = 223113173191
BaseRepresentation
bin1101100110100…
…1011000100100
310222100200102010
43121221120210
5104101223011
65354514220
71261646253
oct331513044
9128320363
1057054756
112a22a0a0
1217135970
13ba88515
14781279a
1550201a6
hex3669624

57054756 has 96 divisors (see below), whose sum is σ = 152764416. Its totient is φ = 16416000.

The previous prime is 57054749. The next prime is 57054761. The reversal of 57054756 is 65745075.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298621 + ... + 298811.

It is an arithmetic number, because the mean of its divisors is an integer number (1591296).

Almost surely, 257054756 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 57054756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76382208).

57054756 is an abundant number, since it is smaller than the sum of its proper divisors (95709660).

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

57054756 is a wasteful number, since it uses less digits than its factorization.

57054756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 57054756 is about 7553.4598694903. The cubic root of 57054756 is about 384.9733067455.

The spelling of 57054756 in words is "fifty-seven million, fifty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 73 93 124 132 146 186 191 219 292 341 372 382 438 573 682 764 803 876 1023 1146 1364 1606 2046 2101 2263 2292 2409 3212 4092 4202 4526 4818 5921 6303 6789 8404 9052 9636 11842 12606 13578 13943 17763 23684 24893 25212 27156 27886 35526 41829 49786 55772 65131 71052 74679 83658 99572 130262 149358 153373 167316 195393 260524 298716 306746 390786 432233 460119 613492 781572 864466 920238 1296699 1728932 1840476 2593398 4754563 5186796 9509126 14263689 19018252 28527378 57054756