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2438278040 = 2351117409797
BaseRepresentation
bin1001000101010101…
…0010101110011000
320021221001100200002
42101111102232120
514443144344130
61041540432132
7114265010222
oct22125225630
96257040602
102438278040
111041387420
125806a8648
132cb1cb793
14191b85412
15e40d7b45
hex91552b98

2438278040 has 128 divisors (see below), whose sum is σ = 6360379200. Its totient is φ = 831406080.

The previous prime is 2438278033. The next prime is 2438278049. The reversal of 2438278040 is 408728342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2438277985 and 2438278003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438278049) 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, 3058922 + ... + 3059718.

Almost surely, 22438278040 is an apocalyptic number.

2438278040 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 2438278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180189600).

2438278040 is an abundant number, since it is smaller than the sum of its proper divisors (3922101160).

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

2438278040 is a wasteful number, since it uses less digits than its factorization.

2438278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2438278040 is about 49378.9230340233. The cubic root of 2438278040 is about 1345.9463294042.

The spelling of 2438278040 in words is "two billion, four hundred thirty-eight million, two hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 409 440 680 748 797 818 935 1496 1594 1636 1870 2045 3188 3272 3740 3985 4090 4499 6376 6953 7480 7970 8180 8767 8998 13549 13906 15940 16360 17534 17996 22495 27098 27812 31880 34765 35068 35992 43835 44990 54196 55624 67745 69530 70136 76483 87670 89980 108392 135490 139060 149039 152966 175340 179960 270980 278120 298078 305932 325973 350680 382415 541960 596156 611864 651946 745195 764830 1192312 1303892 1490390 1529660 1629865 2607784 2980780 3059320 3259730 3585703 5541541 5961560 6519460 7171406 11083082 13038920 14342812 17928515 22166164 27707705 28685624 35857030 44332328 55415410 60956951 71714060 110830820 121913902 143428120 221661640 243827804 304784755 487655608 609569510 1219139020 2438278040