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2469297920 = 2854913929
BaseRepresentation
bin1001001100101110…
…0111111100000000
320101002102022221112
42103023213330000
520024120013140
61045005342452
7115122454205
oct22313477400
96332368845
102469297920
111057944091
1258ab67a28
1330476ca3b
14195d3bcac
15e6bb3c65
hex932e7f00

2469297920 has 72 divisors (see below), whose sum is σ = 5928294960. Its totient is φ = 985456640.

The previous prime is 2469297911. The next prime is 2469297947. The reversal of 2469297920 is 297929642.

It is a happy number.

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, 626516 + ... + 630444.

It is an arithmetic number, because the mean of its divisors is an integer number (82337430).

Almost surely, 22469297920 is an apocalyptic number.

2469297920 is a gapful number since it is divisible by the number (20) 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 2469297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964147480).

2469297920 is an abundant number, since it is smaller than the sum of its proper divisors (3458997040).

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

2469297920 is an equidigital number, since it uses as much as digits as its factorization.

2469297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 2469297920 is about 49692.0307494069. The cubic root of 2469297920 is about 1351.6300237605.

The spelling of 2469297920 in words is "two billion, four hundred sixty-nine million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 491 640 982 1280 1964 2455 3928 3929 4910 7856 7858 9820 15712 15716 19640 19645 31424 31432 39280 39290 62848 62864 78560 78580 125696 125728 157120 157160 251456 314240 314320 502912 628480 628640 1005824 1257280 1929139 2514560 3858278 5029120 7716556 9645695 15433112 19291390 30866224 38582780 61732448 77165560 123464896 154331120 246929792 308662240 493859584 617324480 1234648960 2469297920