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1424268800 = 2952111271
BaseRepresentation
bin101010011100100…
…1001111000000000
310200021000100111022
41110321021320000
510404103100200
6353155005012
750203041113
oct12471117000
93607010438
101424268800
11670a65259
12338b99768
131990c7c06
14d722c57a
158508a885
hex54e49e00

1424268800 has 60 divisors (see below), whose sum is σ = 3528768936. Its totient is φ = 569702400.

The previous prime is 1424268737. The next prime is 1424268803. The reversal of 1424268800 is 88624241.

It is a super-2 number, since 2×14242688002 = 4057083229306880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424268803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42836 + ... + 68435.

Almost surely, 21424268800 is an apocalyptic number.

1424268800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424268800 is an abundant number, since it is smaller than the sum of its proper divisors (2104500136).

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

1424268800 is an equidigital number, since it uses as much as digits as its factorization.

1424268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111299 (or 111278 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 1424268800 is about 37739.4859530439. The cubic root of 1424268800 is about 1125.1160505797.

The spelling of 1424268800 in words is "one billion, four hundred twenty-four million, two hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 111271 222542 445084 556355 890168 1112710 1780336 2225420 2781775 3560672 4450840 5563550 7121344 8901680 11127100 14242688 17803360 22254200 28485376 35606720 44508400 56970752 71213440 89016800 142426880 178033600 284853760 356067200 712134400 1424268800