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57929820 = 223513229197
BaseRepresentation
bin1101110011111…
…1000001011100
311001000010202220
43130333001130
5104312223240
65425345340
71302252414
oct334770134
9131003686
1057929820
112a777593
1217498250
13c003900
14799d644
1551445d0
hex373f05c

57929820 has 144 divisors (see below), whose sum is σ = 182619360. Its totient is φ = 13698048.

The previous prime is 57929819. The next prime is 57929857. The reversal of 57929820 is 2892975.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293962 + ... + 294158.

It is an arithmetic number, because the mean of its divisors is an integer number (1268190).

Almost surely, 257929820 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 57929820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91309680).

57929820 is an abundant number, since it is smaller than the sum of its proper divisors (124689540).

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

57929820 is a wasteful number, since it uses less digits than its factorization.

57929820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 57929820 is about 7611.1641685093. The cubic root of 57929820 is about 386.9314756920.

The spelling of 57929820 in words is "fifty-seven million, nine hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 169 174 195 197 260 290 338 348 377 390 394 435 507 580 591 676 754 780 788 845 870 985 1014 1131 1182 1508 1690 1740 1885 1970 2028 2262 2364 2535 2561 2955 3380 3770 3940 4524 4901 5070 5122 5655 5713 5910 7540 7683 9802 10140 10244 11310 11426 11820 12805 14703 15366 17139 19604 22620 22852 24505 25610 28565 29406 30732 33293 34278 38415 49010 51220 57130 58812 66586 68556 73515 74269 76830 85695 98020 99879 114260 133172 147030 148538 153660 166465 171390 199758 222807 294060 297076 332930 342780 371345 399516 445614 499395 665860 742690 891228 965497 998790 1114035 1485380 1930994 1997580 2228070 2896491 3861988 4456140 4827485 5792982 9654970 11585964 14482455 19309940 28964910 57929820