Search a number
-
+
2538072474 = 237474632777
BaseRepresentation
bin1001011101000111…
…1110100110011010
320112212211102220020
42113101332212122
520144221304344
61055503411310
7116616155130
oct22721764632
96485742806
102538072474
111092748463
125a9bb3b36
13315a9c842
141a1121750
15ecc4b719
hex9747e99a

2538072474 has 64 divisors (see below), whose sum is σ = 5939675136. Its totient is φ = 707946624.

The previous prime is 2538072473. The next prime is 2538072479. The reversal of 2538072474 is 4742708352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2538072473) 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, 912574 + ... + 915350.

It is an arithmetic number, because the mean of its divisors is an integer number (92807424).

Almost surely, 22538072474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538072474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969837568).

2538072474 is an abundant number, since it is smaller than the sum of its proper divisors (3401602662).

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

2538072474 is a wasteful number, since it uses less digits than its factorization.

2538072474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299.

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2538072474 is about 50379.2861600877. The cubic root of 2538072474 is about 1364.0637667520.

The spelling of 2538072474 in words is "two billion, five hundred thirty-eight million, seventy-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 463 658 926 987 1389 1974 2777 2778 3241 5554 6482 8331 9723 16662 19439 19446 21761 38878 43522 58317 65283 116634 130519 130566 152327 261038 304654 391557 456981 783114 913633 913962 1285751 1827266 2571502 2740899 3857253 5481798 7714506 9000257 18000514 27000771 54001542 60430297 120860594 181290891 362581782 423012079 846024158 1269036237 2538072474