Search a number
-
+
2057752944 = 243313366409
BaseRepresentation
bin111101010100110…
…1101000101110000
312022102000200101000
41322221231011300
513203241043234
6540104442000
7101664416502
oct17251550560
95272020330
102057752944
11966603275
12495179300
1326a4185c0
1415740dd72
15c09be899
hex7aa6d170

2057752944 has 80 divisors (see below), whose sum is σ = 6360877600. Its totient is φ = 633153024.

The previous prime is 2057752889. The next prime is 2057752951. The reversal of 2057752944 is 4492577502.

2057752944 is a `hidden beast` number, since 20 + 577 + 52 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2057752944.

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, 177589 + ... + 188820.

It is an arithmetic number, because the mean of its divisors is an integer number (79510970).

Almost surely, 22057752944 is an apocalyptic number.

2057752944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2057752944 is an abundant number, since it is smaller than the sum of its proper divisors (4303124656).

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

2057752944 is a wasteful number, since it uses less digits than its factorization.

2057752944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366439 (or 366427 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2057752944 is about 45362.4618379558. The cubic root of 2057752944 is about 1271.9335137908.

The spelling of 2057752944 in words is "two billion, fifty-seven million, seven hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 366409 732818 1099227 1465636 2198454 2931272 3297681 4396908 4763317 5862544 6595362 8793816 9526634 9893043 13190724 14289951 17587632 19053268 19786086 26381448 28579902 38106536 39572172 42869853 52762896 57159804 76213072 79144344 85739706 114319608 128609559 158288688 171479412 228639216 257219118 342958824 514438236 685917648 1028876472 2057752944