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2482546416 = 243713156401
BaseRepresentation
bin1001001111111000…
…1010011011110000
320102000100102110120
42103332022123300
520041012441131
61050201330240
7115343203440
oct22376123360
96360312416
102482546416
111064372959
12593496980
1330742b09c
141979ca120
15e7e2e496
hex93f8a6f0

2482546416 has 80 divisors (see below), whose sum is σ = 7385503488. Its totient is φ = 703872000.

The previous prime is 2482546411. The next prime is 2482546471. The reversal of 2482546416 is 6146452842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482546411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15816 + ... + 72216.

Almost surely, 22482546416 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 2482546416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692751744).

2482546416 is an abundant number, since it is smaller than the sum of its proper divisors (4902957072).

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

2482546416 is a wasteful number, since it uses less digits than its factorization.

2482546416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56550 (or 56544 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 2482546416 is about 49825.1584643742. The cubic root of 2482546416 is about 1354.0430084950.

The spelling of 2482546416 in words is "two billion, four hundred eighty-two million, five hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 56401 112802 169203 225604 338406 394807 451208 676812 789614 902416 1184421 1353624 1579228 2368842 2707248 3158456 4737684 6316912 7388531 9475368 14777062 18950736 22165593 29554124 44331186 51719717 59108248 88662372 103439434 118216496 155159151 177324744 206878868 310318302 354649488 413757736 620636604 827515472 1241273208 2482546416