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57220688 = 2472397229
BaseRepresentation
bin1101101001000…
…1111001010000
310222200010000202
43122101321100
5104122030223
65402234332
71263240110
oct332217120
9128603022
1057220688
112a332828
12171b59a8
13bb15bc5
147857040
155054428
hex3691e50

57220688 has 80 divisors (see below), whose sum is σ = 134158080. Its totient is φ = 23113728.

The previous prime is 57220687. The next prime is 57220693. The reversal of 57220688 is 88602275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57220687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249758 + ... + 249986.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 257220688 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 57220688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079040).

57220688 is an abundant number, since it is smaller than the sum of its proper divisors (76937392).

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

57220688 is a wasteful number, since it uses less digits than its factorization.

57220688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 57220688 is about 7564.4357357307. The cubic root of 57220688 is about 385.3461507080.

The spelling of 57220688 in words is "fifty-seven million, two hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 97 112 161 184 194 229 322 368 388 458 644 679 776 916 1288 1358 1552 1603 1832 2231 2576 2716 3206 3664 4462 5267 5432 6412 8924 10534 10864 12824 15617 17848 21068 22213 25648 31234 35696 36869 42136 44426 62468 73738 84272 88852 124936 147476 155491 177704 249872 294952 310982 355408 510899 589904 621964 1021798 1243928 2043596 2487856 3576293 4087192 7152586 8174384 14305172 28610344 57220688