Search a number
-
+
2057317304 = 237292335437
BaseRepresentation
bin111101010100000…
…0010101110111000
312022101012112210012
41322220002232320
513203133123204
6540051241052
7101660623430
oct17250025670
95271175705
102057317304
11966335a39
12494ba9188
1326a2c5223
141573392c0
15c093576e
hex7aa02bb8

2057317304 has 64 divisors (see below), whose sum is σ = 4580971200. Its totient is φ = 847494144.

The previous prime is 2057317291. The next prime is 2057317313. The reversal of 2057317304 is 4037137502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375674 + ... + 381110.

It is an arithmetic number, because the mean of its divisors is an integer number (71577675).

Almost surely, 22057317304 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 2057317304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290485600).

2057317304 is an abundant number, since it is smaller than the sum of its proper divisors (2523653896).

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

2057317304 is a wasteful number, since it uses less digits than its factorization.

2057317304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 2057317304 is about 45357.6598161766. The cubic root of 2057317304 is about 1271.8437485245.

The spelling of 2057317304 in words is "two billion, fifty-seven million, three hundred seventeen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 233 406 466 812 932 1624 1631 1864 3262 5437 6524 6757 10874 13048 13514 21748 27028 38059 43496 47299 54056 76118 94598 152236 157673 189196 304472 315346 378392 630692 1103711 1261384 1266821 2207422 2533642 4414844 5067284 8829688 8867747 10134568 17735494 35470988 36737809 70941976 73475618 146951236 257164663 293902472 514329326 1028658652 2057317304