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2466304728 = 2331921125633
BaseRepresentation
bin1001001100000000…
…1101001011011000
320100212210021001120
42103000031023120
520022333222403
61044421245240
7115055146536
oct22300151330
96325707046
102466304728
11105618a278
12589b63820
13303c62514
1419579d156
15e67c1e53
hex9300d2d8

2466304728 has 64 divisors (see below), whose sum is σ = 6521289600. Its totient is φ = 775111680.

The previous prime is 2466304663. The next prime is 2466304751. The reversal of 2466304728 is 8274036642.

It is a super-2 number, since 2×24663047282 = 12165318022710307968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2466304728.

It is a congruent number.

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, 83400 + ... + 109032.

It is an arithmetic number, because the mean of its divisors is an integer number (101895150).

Almost surely, 22466304728 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 2466304728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260644800).

2466304728 is an abundant number, since it is smaller than the sum of its proper divisors (4054984872).

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

2466304728 is a wasteful number, since it uses less digits than its factorization.

2466304728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25872 (or 25868 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2466304728 is about 49661.9041922478. The cubic root of 2466304728 is about 1351.0836708989.

The spelling of 2466304728 in words is "two billion, four hundred sixty-six million, three hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 422 456 633 844 1266 1688 2532 4009 5064 8018 12027 16036 24054 25633 32072 48108 51266 76899 96216 102532 153798 205064 307596 487027 615192 974054 1461081 1948108 2922162 3896216 5408563 5844324 10817126 11688648 16225689 21634252 32451378 43268504 64902756 102762697 129805512 205525394 308288091 411050788 616576182 822101576 1233152364 2466304728