Search a number
-
+
57970304 = 277232997
BaseRepresentation
bin1101110100100…
…0111010000000
311001002012022022
43131020322000
5104320022204
65430301012
71302511430
oct335107200
9131065268
1057970304
112a7a4a47
12174b7768
13c019172
1479b02c0
1551515be
hex3748e80

57970304 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 22708224.

The previous prime is 57970301. The next prime is 57970309. The reversal of 57970304 is 40307975.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×579703042 = 6721112291704832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57970301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597584 + ... + 597680.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 257970304 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 57970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

57970304 is an abundant number, since it is smaller than the sum of its proper divisors (85972096).

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

57970304 is a wasteful number, since it uses less digits than its factorization.

57970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 57970304 is about 7613.8232183312. The cubic root of 57970304 is about 387.0215898235.

The spelling of 57970304 in words is "fifty-seven million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 97 112 116 128 161 184 194 203 224 232 322 368 388 406 448 464 644 667 679 736 776 812 896 928 1288 1334 1358 1472 1552 1624 1856 2231 2576 2668 2716 2813 2944 3104 3248 3712 4462 4669 5152 5336 5432 5626 6208 6496 8924 9338 10304 10672 10864 11252 12416 12992 15617 17848 18676 19691 20608 21344 21728 22504 25984 31234 35696 37352 39382 42688 43456 45008 62468 64699 71392 74704 78764 85376 86912 90016 124936 129398 142784 149408 157528 180032 249872 258796 285568 298816 315056 360064 452893 499744 517592 597632 630112 905786 999488 1035184 1260224 1811572 1998976 2070368 2520448 3623144 4140736 7246288 8281472 14492576 28985152 57970304