Search a number
-
+
2438137792 = 26376116879
BaseRepresentation
bin1001000101010011…
…0000011111000000
320021220210020021201
42101110300133000
514443130402132
61041533430544
7114263554306
oct22124603700
96256706251
102438137792
1110412a1012
1258063b454
132cb17c9ac
14191b4a276
15e40ab2e7
hex915307c0

2438137792 has 56 divisors (see below), whose sum is σ = 5050698560. Its totient is φ = 1166607360.

The previous prime is 2438137789. The next prime is 2438137811. The reversal of 2438137792 is 2977318342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136009 + ... + 152887.

Almost surely, 22438137792 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 2438137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525349280).

2438137792 is an abundant number, since it is smaller than the sum of its proper divisors (2612560768).

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

2438137792 is a wasteful number, since it uses less digits than its factorization.

2438137792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16979 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 2438137792 is about 49377.5028935243. The cubic root of 2438137792 is about 1345.9205229543.

The spelling of 2438137792 in words is "two billion, four hundred thirty-eight million, one hundred thirty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 148 244 296 488 592 976 1184 1952 2257 2368 3904 4514 9028 16879 18056 33758 36112 67516 72224 135032 144448 270064 540128 624523 1029619 1080256 1249046 2059238 2498092 4118476 4996184 8236952 9992368 16473904 19984736 32947808 38095903 39969472 65895616 76191806 152383612 304767224 609534448 1219068896 2438137792