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4838417232 = 2431110518719
BaseRepresentation
bin1001000000110010…
…00110001101010000
3110111012100001200020
410200121012031100
534402113322412
62120040023440
7230620603455
oct44031061520
913435301606
104838417232
112063184530
12b30461b80
135c153589c
1433c83d82c
151d4b8a18c
hex120646350

4838417232 has 80 divisors (see below), whose sum is σ = 13650078720. Its totient is φ = 1464624000.

The previous prime is 4838417231. The next prime is 4838417237. The reversal of 4838417232 is 2327148384.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4838417231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550569 + ... + 559287.

It is an arithmetic number, because the mean of its divisors is an integer number (170625984).

Almost surely, 24838417232 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 4838417232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825039360).

4838417232 is an abundant number, since it is smaller than the sum of its proper divisors (8811661488).

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

4838417232 is a wasteful number, since it uses less digits than its factorization.

4838417232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9786 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 4838417232 is about 69558.7322483669. The cubic root of 4838417232 is about 1691.3537036140.

The spelling of 4838417232 in words is "four billion, eight hundred thirty-eight million, four hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1051 2102 3153 4204 6306 8408 8719 11561 12612 16816 17438 23122 25224 26157 34683 34876 46244 50448 52314 69366 69752 92488 95909 104628 138732 139504 184976 191818 209256 277464 287727 383636 418512 554928 575454 767272 1150908 1534544 2301816 4603632 9163669 18327338 27491007 36654676 54982014 73309352 100800359 109964028 146618704 201600718 219928056 302401077 403201436 439856112 604802154 806402872 1209604308 1612805744 2419208616 4838417232