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2438553768 = 233723362297
BaseRepresentation
bin1001000101011001…
…0110000010101000
320021221120100220020
42101112112002220
514443232210033
61041550400440
7114300236130
oct22126260250
96257510806
102438553768
1110415555a2
12580800120
132cb297131
14191c17ac0
15e413e6b3
hex915960a8

2438553768 has 64 divisors (see below), whose sum is σ = 6997311360. Its totient is φ = 693728256.

The previous prime is 2438553749. The next prime is 2438553773. The reversal of 2438553768 is 8673558342.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2438553768.

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, 7996 + ... + 70292.

It is an arithmetic number, because the mean of its divisors is an integer number (109332990).

Almost surely, 22438553768 is an apocalyptic number.

2438553768 is a gapful number since it is divisible by the number (28) 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 2438553768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498655680).

2438553768 is an abundant number, since it is smaller than the sum of its proper divisors (4558757592).

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

2438553768 is a wasteful number, since it uses less digits than its factorization.

2438553768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62546 (or 62542 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 2438553768 is about 49381.7149155434. The cubic root of 2438553768 is about 1345.9970620791.

The spelling of 2438553768 in words is "two billion, four hundred thirty-eight million, five hundred fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 13048 19572 39144 62297 124594 186891 249188 373782 436079 498376 747564 872158 1308237 1495128 1744316 2616474 3488632 5232948 10465896 14515201 29030402 43545603 58060804 87091206 101606407 116121608 174182412 203212814 304819221 348364824 406425628 609638442 812851256 1219276884 2438553768