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2153285424 = 243311034519
BaseRepresentation
bin1000000001011000…
…1000011100110000
312120001210020022000
42000112020130300
513402220113144
6553400214000
7104234424033
oct20026103460
95501706260
102153285424
11a05523234
1250116a300
132841567b4
14165d9b01a
15c9090769
hex80588730

2153285424 has 80 divisors (see below), whose sum is σ = 6187699200. Its totient is φ = 716952384.

The previous prime is 2153285423. The next prime is 2153285429. The reversal of 2153285424 is 4245823512.

2153285424 is a `hidden beast` number, since 2 + 1 + 532 + 85 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2153285423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474237 + ... + 478755.

It is an arithmetic number, because the mean of its divisors is an integer number (77346240).

Almost surely, 22153285424 is an apocalyptic number.

2153285424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153285424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093849600).

2153285424 is an abundant number, since it is smaller than the sum of its proper divisors (4034413776).

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

2153285424 is a wasteful number, since it uses less digits than its factorization.

2153285424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5627 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2153285424 is about 46403.5065916359. The cubic root of 2153285424 is about 1291.3199685383.

The spelling of 2153285424 in words is "two billion, one hundred fifty-three million, two hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1103 2206 3309 4412 4519 6618 8824 9038 9927 13236 13557 17648 18076 19854 26472 27114 29781 36152 39708 40671 52944 54228 59562 72304 79416 81342 108456 119124 122013 158832 162684 216912 238248 244026 325368 476496 488052 650736 976104 1952208 4984457 9968914 14953371 19937828 29906742 39875656 44860113 59813484 79751312 89720226 119626968 134580339 179440452 239253936 269160678 358880904 538321356 717761808 1076642712 2153285424