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4412483348 = 22713174991429
BaseRepresentation
bin1000001110000000…
…10010011100010100
3102101111212101020012
410013000102130110
533014043431343
62005502455352
7214226326640
oct40700223424
912344771205
104412483348
111964806059
12a31894558
13554213cc0
142dc047c20
151ac5a2718
hex107012714

4412483348 has 96 divisors (see below), whose sum is σ = 10090080000. Its totient is φ = 1638475776.

The previous prime is 4412483333. The next prime is 4412483351. The reversal of 4412483348 is 8433842144.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3087098 + ... + 3088526.

It is an arithmetic number, because the mean of its divisors is an integer number (105105000).

Almost surely, 24412483348 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 4412483348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040000).

4412483348 is an abundant number, since it is smaller than the sum of its proper divisors (5677596652).

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

4412483348 is a wasteful number, since it uses less digits than its factorization.

4412483348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 4412483348 is about 66426.5259365564. The cubic root of 4412483348 is about 1640.1907556223.

The spelling of 4412483348 in words is "four billion, four hundred twelve million, four hundred eighty-three thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 499 884 998 1429 1547 1996 2858 3094 3493 5716 6188 6487 6986 8483 10003 12974 13972 16966 18577 20006 24293 25948 33932 37154 40012 45409 48586 59381 74308 90818 97172 110279 118762 130039 170051 181636 220558 237524 260078 315809 340102 441116 520156 631618 680204 713071 771953 1263236 1426142 1543906 2210663 2852284 3087812 4421326 4991497 8842652 9269923 9982994 12122207 18539846 19965988 24244414 37079692 48488828 64889461 84855449 129778922 157588691 169710898 259557844 315177382 339421796 630354764 1103120837 2206241674 4412483348