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57277044 = 2235112487
BaseRepresentation
bin1101101001111…
…1101001110100
310222202222100000
43122133221310
5104130331134
65403351300
71263563316
oct332375164
9128688300
1057277044
112a371100
1217222530
13bb35756
14786d7b6
155065e99
hex369fa74

57277044 has 108 divisors (see below), whose sum is σ = 165375392. Its totient is φ = 17321040.

The previous prime is 57277043. The next prime is 57277081. The reversal of 57277044 is 44077275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57277043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117369 + ... + 117855.

Almost surely, 257277044 is an apocalyptic number.

57277044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57277044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82687696).

57277044 is an abundant number, since it is smaller than the sum of its proper divisors (108098348).

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

57277044 is a wasteful number, since it uses less digits than its factorization.

57277044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 57277044 is about 7568.1598820321. The cubic root of 57277044 is about 385.4726168683.

The spelling of 57277044 in words is "fifty-seven million, two hundred seventy-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 487 594 726 891 972 974 1089 1188 1452 1461 1782 1948 2178 2673 2922 3267 3564 4356 4383 5346 5357 5844 6534 8766 9801 10692 10714 13068 13149 16071 17532 19602 21428 26298 29403 32142 39204 39447 48213 52596 58806 58927 64284 78894 96426 117612 117854 118341 144639 157788 176781 192852 235708 236682 289278 353562 433917 473364 530343 578556 707124 867834 1060686 1301751 1591029 1735668 2121372 2603502 3182058 4773087 5207004 6364116 9546174 14319261 19092348 28638522 57277044