Search a number
-
+
2495638900 = 22523747113127
BaseRepresentation
bin1001010011000000…
…0110110101110100
320102220222120222101
42110300012311310
520102340421100
61051350111444
7115562403106
oct22460066564
96386876871
102495638900
1110707a5497
1259794b584
1330a063411
14199637576
15e916886a
hex94c06d74

2495638900 has 144 divisors (see below), whose sum is σ = 5775630336. Its totient is φ = 934778880.

The previous prime is 2495638883. The next prime is 2495638903. The reversal of 2495638900 is 98365942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495638903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19650637 + ... + 19650763.

It is an arithmetic number, because the mean of its divisors is an integer number (40108544).

Almost surely, 22495638900 is an apocalyptic number.

2495638900 is a gapful number since it is divisible by the number (20) 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 2495638900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887815168).

2495638900 is an abundant number, since it is smaller than the sum of its proper divisors (3279991436).

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

2495638900 is a wasteful number, since it uses less digits than its factorization.

2495638900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 2495638900 is about 49956.3699641998. The cubic root of 2495638900 is about 1356.4191591763.

The spelling of 2495638900 in words is "two billion, four hundred ninety-five million, six hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 47 50 74 94 100 113 127 148 185 188 226 235 254 370 452 470 508 565 635 740 925 940 1130 1175 1270 1739 1850 2260 2350 2540 2825 3175 3478 3700 4181 4699 4700 5311 5650 5969 6350 6956 8362 8695 9398 10622 11300 11938 12700 14351 16724 17390 18796 20905 21244 23495 23876 26555 28702 29845 34780 41810 43475 46990 53110 57404 59690 71755 83620 86950 93980 104525 106220 117475 119380 132775 143510 149225 173900 196507 209050 220853 234950 265550 287020 298450 358775 393014 418100 441706 469900 530987 531100 596900 674497 717550 786028 883412 982535 1061974 1104265 1348994 1435100 1965070 2123948 2208530 2654935 2697988 3372485 3930140 4417060 4912675 5309870 5521325 6744970 9825350 10619740 11042650 13274675 13489940 16862425 19650700 22085300 24956389 26549350 33724850 49912778 53098700 67449700 99825556 124781945 249563890 499127780 623909725 1247819450 2495638900