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2466996460 = 225378593881
BaseRepresentation
bin1001001100001011…
…0110000011101100
320100221002101221021
42103002312003230
520023022341320
61044444143524
7115064060335
oct22302660354
96327071837
102466996460
111056611a55
1258a237ba4
13304145326
141958dd28c
15e68abdaa
hex930b60ec

2466996460 has 48 divisors (see below), whose sum is σ = 5328277920. Its totient is φ = 958763520.

The previous prime is 2466996457. The next prime is 2466996487. The reversal of 2466996460 is 646996642.

It is a junction number, because it is equal to n+sod(n) for n = 2466996398 and 2466996407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633720 + ... + 637600.

It is an arithmetic number, because the mean of its divisors is an integer number (111005790).

Almost surely, 22466996460 is an apocalyptic number.

2466996460 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 2466996460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664138960).

2466996460 is an abundant number, since it is smaller than the sum of its proper divisors (2861281460).

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

2466996460 is a wasteful number, since it uses less digits than its factorization.

2466996460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The square root of 2466996460 is about 49668.8681167590. The cubic root of 2466996460 is about 1351.2099732758.

The spelling of 2466996460 in words is "two billion, four hundred sixty-six million, nine hundred ninety-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 859 1718 3436 3881 4295 7762 8590 15524 17180 19405 31783 38810 63566 77620 127132 143597 158915 287194 317830 574388 635660 717985 1435970 2871940 3333779 6667558 13335116 16668895 33337790 66675580 123349823 246699646 493399292 616749115 1233498230 2466996460