Search a number
-
+
2057497182 = 2321317612139
BaseRepresentation
bin111101010100010…
…1110101001011110
312022101112200112100
41322220232221132
513203204402212
6540055145530
7101662303026
oct17250565136
95271480470
102057497182
119664490a4
124950752a6
1326a359070
14157384a86
15c096dbdc
hex7aa2ea5e

2057497182 has 144 divisors (see below), whose sum is σ = 5205105360. Its totient is φ = 581852160.

The previous prime is 2057497157. The next prime is 2057497207. The reversal of 2057497182 is 2817947502.

It is a happy number.

2057497182 is a `hidden beast` number, since 2 + 0 + 574 + 9 + 71 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2057497157) and next prime (2057497207).

It is a super-2 number, since 2×20574971822 = 8466589307875882248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14802069 + ... + 14802207.

It is an arithmetic number, because the mean of its divisors is an integer number (36146565).

Almost surely, 22057497182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057497182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602552680).

2057497182 is an abundant number, since it is smaller than the sum of its proper divisors (3147608178).

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

2057497182 is a wasteful number, since it uses less digits than its factorization.

2057497182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2057497182 is about 45359.6426573226. The cubic root of 2057497182 is about 1271.8808146011.

The spelling of 2057497182 in words is "two billion, fifty-seven million, four hundred ninety-seven thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 61 78 102 117 122 139 153 183 221 234 278 306 366 417 442 549 663 793 834 1037 1098 1251 1326 1586 1807 1989 2074 2363 2379 2502 3111 3614 3721 3978 4726 4758 5421 6222 7089 7137 7442 8479 9333 10842 11163 13481 14178 14274 16263 16958 18666 21267 22326 25437 26962 30719 32526 33489 40443 42534 48373 50874 61438 63257 66978 76311 80886 92157 96746 110227 121329 126514 144143 145119 152622 184314 189771 220454 242658 276471 288286 290238 330681 379542 432429 435357 517219 552942 569313 661362 822341 864858 870714 992043 1034438 1138626 1297287 1551657 1644682 1873859 1984086 2467023 2594574 3103314 3747718 4654971 4934046 5621577 6723847 7401069 8792723 9309942 11243154 13447694 14802138 16864731 17585446 20171541 26378169 33729462 40343082 52756338 60514623 79134507 114305399 121029246 158269014 228610798 342916197 685832394 1028748591 2057497182