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122488464 = 24371073407
BaseRepresentation
bin1110100110100…
…00011010010000
322112111001120210
413103100122100
5222324112324
620053204120
73015064140
oct723203220
9275431523
10122488464
116316143a
1235030640
131c4b87a7
14123a6920
15ab47d29
hex74d0690

122488464 has 80 divisors (see below), whose sum is σ = 365119488. Its totient is φ = 34659456.

The previous prime is 122488453. The next prime is 122488523. The reversal of 122488464 is 464884221.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 34249 + ... + 37655.

Almost surely, 2122488464 is an apocalyptic number.

122488464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122488464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182559744).

122488464 is an abundant number, since it is smaller than the sum of its proper divisors (242631024).

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

122488464 is a wasteful number, since it uses less digits than its factorization.

122488464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3526 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 122488464 is about 11067.4506549612. The cubic root of 122488464 is about 496.6286038025.

The spelling of 122488464 in words is "one hundred twenty-two million, four hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 3407 4494 5136 5992 6814 8988 10221 11984 13628 17976 20442 23849 27256 35952 40884 47698 54512 71547 81768 95396 143094 163536 190792 286188 364549 381584 572376 729098 1093647 1144752 1458196 2187294 2551843 2916392 4374588 5103686 5832784 7655529 8749176 10207372 15311058 17498352 20414744 30622116 40829488 61244232 122488464