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2482415640 = 2333511320341
BaseRepresentation
bin1001001111110110…
…1010100000011000
320102000002210002000
42103331222200120
520040444300030
61050154441000
7115342120245
oct22375524030
96360083060
102482415640
111064293681
12593433160
133073b36c3
141979945cc
15e7e05860
hex93f6a818

2482415640 has 128 divisors (see below), whose sum is σ = 8348356800. Its totient is φ = 656087040.

The previous prime is 2482415587. The next prime is 2482415641. The reversal of 2482415640 is 465142842.

2482415640 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 4 + 1 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2482415595 and 2482415604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482415641) 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, 111870 + ... + 132210.

Almost surely, 22482415640 is an apocalyptic number.

2482415640 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 2482415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174178400).

2482415640 is an abundant number, since it is smaller than the sum of its proper divisors (5865941160).

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

2482415640 is a wasteful number, since it uses less digits than its factorization.

2482415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2482415640 is about 49823.8460980282. The cubic root of 2482415640 is about 1354.0192319087.

The spelling of 2482415640 in words is "two billion, four hundred eighty-two million, four hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 565 678 904 1017 1080 1130 1356 1695 2034 2260 2712 3051 3390 4068 4520 5085 6102 6780 8136 10170 12204 13560 15255 20340 20341 24408 30510 40680 40682 61020 61023 81364 101705 122040 122046 162728 183069 203410 244092 305115 366138 406820 488184 549207 610230 732276 813640 915345 1098414 1220460 1464552 1830690 2196828 2298533 2440920 2746035 3661380 4393656 4597066 5492070 6895599 7322760 9194132 10984140 11492665 13791198 18388264 20686797 21968280 22985330 27582396 34477995 41373594 45970660 55164792 62060391 68955990 82747188 91941320 103433985 124120782 137911980 165494376 206867970 248241564 275823960 310301955 413735940 496483128 620603910 827471880 1241207820 2482415640