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2481745056 = 25373739901
BaseRepresentation
bin1001001111101100…
…0110110010100000
320101221211201012120
42103323012302200
520040311320211
61050132224240
7115333325220
oct22373066240
96357751176
102481745056
11106397587a
1259316b080
1330720a3cb
1419785c080
15e7d21d06
hex93ec6ca0

2481745056 has 96 divisors (see below), whose sum is σ = 7465949568. Its totient is φ = 707097600.

The previous prime is 2481745039. The next prime is 2481745061. The reversal of 2481745056 is 6505471842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2481744999 and 2481745017.

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, 245706 + ... + 255606.

It is an arithmetic number, because the mean of its divisors is an integer number (77770308).

Almost surely, 22481745056 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 2481745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732974784).

2481745056 is an abundant number, since it is smaller than the sum of its proper divisors (4984204512).

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

2481745056 is a wasteful number, since it uses less digits than its factorization.

2481745056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2481745056 is about 49817.1160947721. The cubic root of 2481745056 is about 1353.8972988757.

The spelling of 2481745056 in words is "two billion, four hundred eighty-one million, seven hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 373 672 746 1119 1492 2238 2611 2984 4476 5222 5968 7833 8952 9901 10444 11936 15666 17904 19802 20888 29703 31332 35808 39604 41776 59406 62664 69307 79208 83552 118812 125328 138614 158416 207921 237624 250656 277228 316832 415842 475248 554456 831684 950496 1108912 1663368 2217824 3326736 3693073 6653472 7386146 11079219 14772292 22158438 25851511 29544584 44316876 51703022 59089168 77554533 88633752 103406044 118178336 155109066 177267504 206812088 310218132 354535008 413624176 620436264 827248352 1240872528 2481745056