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2438129740 = 225613795273
BaseRepresentation
bin1001000101010010…
…1110100001001100
320021220202211020111
42101110232201030
514443130122430
61041533325404
7114263521654
oct22124564114
96256684214
102438129740
111041295a62
12580636864
132cb179127
14191b47364
15e40a8c2a
hex9152e84c

2438129740 has 48 divisors (see below), whose sum is σ = 5218728480. Its totient is φ = 956551680.

The previous prime is 2438129677. The next prime is 2438129777. The reversal of 2438129740 is 479218342.

It is a junction number, because it is equal to n+sod(n) for n = 2438129693 and 2438129702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459744 + ... + 465016.

It is an arithmetic number, because the mean of its divisors is an integer number (108723510).

Almost surely, 22438129740 is an apocalyptic number.

2438129740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2438129740 is an abundant number, since it is smaller than the sum of its proper divisors (2780598740).

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

2438129740 is a wasteful number, since it uses less digits than its factorization.

2438129740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2438129740 is about 49377.4213583496. The cubic root of 2438129740 is about 1345.9190413093.

The spelling of 2438129740 in words is "two billion, four hundred thirty-eight million, one hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 379 610 758 1220 1516 1895 3790 5273 7580 10546 21092 23119 26365 46238 52730 92476 105460 115595 231190 321653 462380 643306 1286612 1608265 1998467 3216530 3996934 6433060 7993868 9992335 19984670 39969340 121906487 243812974 487625948 609532435 1219064870 2438129740