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2480393216 = 2107536529
BaseRepresentation
bin1001001111010111…
…1100110000000000
320101212022000211102
42103311330300000
520034440040331
61050043233532
7115315665050
oct22365746000
96355260742
102480393216
111063132154
125928188a8
13306b55cc2
141975c9560
15e7b564cb
hex93d7cc00

2480393216 has 88 divisors (see below), whose sum is σ = 5774505120. Its totient is φ = 1042808832.

The previous prime is 2480393213. The next prime is 2480393219. The reversal of 2480393216 is 6123930842.

It is an interprime number because it is at equal distance from previous prime (2480393213) and next prime (2480393219).

It is a self number, because there is not a number n which added to its sum of digits gives 2480393216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480393213) 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, 376640 + ... + 383168.

Almost surely, 22480393216 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 2480393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887252560).

2480393216 is an abundant number, since it is smaller than the sum of its proper divisors (3294111904).

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

2480393216 is an equidigital number, since it uses as much as digits as its factorization.

2480393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2480393216 is about 49803.5462191198. The cubic root of 2480393216 is about 1353.6514255212.

The spelling of 2480393216 in words is "two billion, four hundred eighty million, three hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2968 3392 3584 5936 6529 6784 7168 11872 13058 13568 23744 26116 27136 45703 47488 52232 54272 91406 94976 104464 182812 189952 208928 346037 365624 379904 417856 692074 731248 835712 1384148 1462496 1671424 2422259 2768296 2924992 3342848 4844518 5536592 5849984 6685696 9689036 11073184 11699968 19378072 22146368 23399936 38756144 44292736 46799872 77512288 88585472 155024576 177170944 310049152 354341888 620098304 1240196608 2480393216