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2480040672 = 25331833347
BaseRepresentation
bin1001001111010010…
…0110101011100000
320101211122010020020
42103310212223200
520034342300142
61050031513440
7115312666164
oct22364465340
96354563206
102480040672
111062a1129a
12592688880
13306a616b5
14197536ca4
15e7ad6cec
hex93d26ae0

2480040672 has 48 divisors (see below), whose sum is σ = 6720118272. Its totient is φ = 800012160.

The previous prime is 2480040659. The next prime is 2480040679. The reversal of 2480040672 is 2760400842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×24800406723 (a number of 29 digits) contains 333 as substring.

2480040672 is a modest number, since divided by 40672 gives 24800 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480040679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413698 + ... + 419649.

It is an arithmetic number, because the mean of its divisors is an integer number (140002464).

Almost surely, 22480040672 is an apocalyptic number.

It is an amenable number.

2480040672 is an abundant number, since it is smaller than the sum of its proper divisors (4240077600).

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

2480040672 is a wasteful number, since it uses less digits than its factorization.

2480040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833391 (or 833383 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2480040672 is about 49800.0067469875. The cubic root of 2480040672 is about 1353.5872899510.

The spelling of 2480040672 in words is "two billion, four hundred eighty million, forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 833347 1666694 2500041 3333388 5000082 6666776 10000164 13333552 20000328 25833757 26667104 40000656 51667514 77501271 80001312 103335028 155002542 206670056 310005084 413340112 620010168 826680224 1240020336 2480040672