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2057812152 = 2331126311123
BaseRepresentation
bin111101010100111…
…1011100010111000
312022102010200120220
41322221323202320
513203244442102
6540110020040
7101665054224
oct17251734270
95272120526
102057812152
11966643800
124951a7620
1326a439536
14157427784
15c09d21bc
hex7aa7b8b8

2057812152 has 96 divisors (see below), whose sum is σ = 5668736640. Its totient is φ = 622036800.

The previous prime is 2057812129. The next prime is 2057812153. The reversal of 2057812152 is 2512187502.

It is a super-2 number, since 2×20578121522 = 8469181705837742208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057812153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831863 + ... + 1832985.

It is an arithmetic number, because the mean of its divisors is an integer number (59049340).

Almost surely, 22057812152 is an apocalyptic number.

2057812152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057812152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834368320).

2057812152 is an abundant number, since it is smaller than the sum of its proper divisors (3610924488).

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

2057812152 is a wasteful number, since it uses less digits than its factorization.

2057812152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2057812152 is about 45363.1144433448. The cubic root of 2057812152 is about 1271.9457128447.

Adding to 2057812152 its reverse (2512187502), we get a palindrome (4569999654).

The spelling of 2057812152 in words is "two billion, fifty-seven million, eight hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 631 726 968 1123 1262 1452 1893 2246 2524 2904 3369 3786 4492 5048 6738 6941 7572 8984 12353 13476 13882 15144 20823 24706 26952 27764 37059 41646 49412 55528 74118 76351 83292 98824 135883 148236 152702 166584 229053 271766 296472 305404 407649 458106 543532 610808 708613 815298 916212 1087064 1417226 1630596 1832424 2125839 2834452 3261192 4251678 5668904 7794743 8503356 15589486 17006712 23384229 31178972 46768458 62357944 85742173 93536916 171484346 187073832 257226519 342968692 514453038 685937384 1028906076 2057812152