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2057440056 = 233737893719
BaseRepresentation
bin111101010100010…
…0000101100111000
312022101102210011120
41322220200230320
513203201040211
6540054025240
7101661644340
oct17250405470
95271383146
102057440056
1196640a191
12495048220
1326a339069
1415736bd20
15c095bd06
hex7aa20b38

2057440056 has 128 divisors (see below), whose sum is σ = 6106752000. Its totient is φ = 565373952.

The previous prime is 2057440043. The next prime is 2057440057. The reversal of 2057440056 is 6500447502.

It is a junction number, because it is equal to n+sod(n) for n = 2057439999 and 2057440026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057440057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551365 + ... + 555083.

It is an arithmetic number, because the mean of its divisors is an integer number (47709000).

Almost surely, 22057440056 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 2057440056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376000).

2057440056 is an abundant number, since it is smaller than the sum of its proper divisors (4049311944).

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

2057440056 is a wasteful number, since it uses less digits than its factorization.

2057440056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2057440056 is about 45359.0129522237. The cubic root of 2057440056 is about 1271.8690433196.

Adding to 2057440056 its reverse (6500447502), we get a palindrome (8557887558).

The spelling of 2057440056 in words is "two billion, fifty-seven million, four hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 89 111 148 168 178 222 259 267 296 356 444 518 534 623 712 777 888 1036 1068 1246 1554 1869 2072 2136 2492 3108 3293 3719 3738 4984 6216 6586 7438 7476 9879 11157 13172 14876 14952 19758 22314 23051 26033 26344 29752 39516 44628 46102 52066 69153 78099 79032 89256 92204 104132 137603 138306 156198 184408 208264 275206 276612 312396 330991 412809 550412 553224 624792 661982 825618 963221 992973 1100824 1323964 1651236 1926442 1985946 2316937 2647928 2889663 3302472 3852884 3971892 4633874 5779326 6950811 7705768 7943784 9267748 11558652 12246667 13901622 18535496 23117304 24493334 27803244 36740001 48986668 55606488 73480002 85726669 97973336 146960004 171453338 257180007 293920008 342906676 514360014 685813352 1028720028 2057440056