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4172491640 = 2352318125057
BaseRepresentation
bin1111100010110011…
…0010101101111000
3101202210021112111102
43320230302231320
532021124213030
61530010550532
7205253410442
oct37054625570
911683245442
104172491640
1118512987a9
12985438448
13516596b85
142b8215492
15196498c45
hexf8b32b78

4172491640 has 64 divisors (see below), whose sum is σ = 9850800960. Its totient is φ = 1587548160.

The previous prime is 4172491613. The next prime is 4172491669. The reversal of 4172491640 is 461942714.

It is a junction number, because it is equal to n+sod(n) for n = 4172491594 and 4172491603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153992 + ... + 179048.

It is an arithmetic number, because the mean of its divisors is an integer number (153918765).

Almost surely, 24172491640 is an apocalyptic number.

4172491640 is a gapful number since it is divisible by the number (40) 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 4172491640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925400480).

4172491640 is an abundant number, since it is smaller than the sum of its proper divisors (5678309320).

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

4172491640 is a wasteful number, since it uses less digits than its factorization.

4172491640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25272 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4172491640 is about 64594.8267278425. The cubic root of 4172491640 is about 1609.8984851699.

The spelling of 4172491640 in words is "four billion, one hundred seventy-two million, four hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 181 184 230 362 460 724 905 920 1448 1810 3620 4163 7240 8326 16652 20815 25057 33304 41630 50114 83260 100228 125285 166520 200456 250570 501140 576311 1002280 1152622 2305244 2881555 4535317 4610488 5763110 9070634 11526220 18141268 22676585 23052440 36282536 45353170 90706340 104312291 181412680 208624582 417249164 521561455 834498328 1043122910 2086245820 4172491640