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2038260048 = 243117154371
BaseRepresentation
bin111100101111101…
…0110000101010000
312021001100100010220
41321133112011100
513133243310143
6534130553040
7101336632056
oct17137260520
95231310126
102038260048
119565a9a40
1248a738780
13266381c46
141549b81d6
15bde1dd83
hex797d6150

2038260048 has 80 divisors (see below), whose sum is σ = 5825198592. Its totient is φ = 608944000.

The previous prime is 2038260043. The next prime is 2038260053. The reversal of 2038260048 is 8400628302.

It is an interprime number because it is at equal distance from previous prime (2038260043) and next prime (2038260053).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038260043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10303 + ... + 64673.

Almost surely, 22038260048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038260048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912599296).

2038260048 is an abundant number, since it is smaller than the sum of its proper divisors (3786938544).

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

2038260048 is a wasteful number, since it uses less digits than its factorization.

2038260048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54464 (or 54458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2038260048 is about 45147.0934612628. The cubic root of 2038260048 is about 1267.9044632747.

The spelling of 2038260048 in words is "two billion, thirty-eight million, two hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 54371 108742 163113 217484 326226 434968 598081 652452 869936 1196162 1304904 1794243 2392324 2609808 3588486 3860341 4784648 7176972 7720682 9569296 11581023 14353944 15441364 23162046 28707888 30882728 42463751 46324092 61765456 84927502 92648184 127391253 169855004 185296368 254782506 339710008 509565012 679420016 1019130024 2038260048