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1424828400 = 243521187357
BaseRepresentation
bin101010011101101…
…0010011111110000
310200022001210010020
41110323102133300
510404224002100
6353215003440
750210561442
oct12473223760
93608053106
101424828400
11671307736
12339209580
13199262838
14d7336492
158514b5a0
hex54ed27f0

1424828400 has 60 divisors (see below), whose sum is σ = 4564204152. Its totient is φ = 379953920.

The previous prime is 1424828387. The next prime is 1424828533. The reversal of 1424828400 is 48284241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 592479 + ... + 594878.

Almost surely, 21424828400 is an apocalyptic number.

1424828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424828400 is an abundant number, since it is smaller than the sum of its proper divisors (3139375752).

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

1424828400 is a wasteful number, since it uses less digits than its factorization.

1424828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187378 (or 1187367 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 1424828400 is about 37746.8992103987. The cubic root of 1424828400 is about 1125.2633852450.

The spelling of 1424828400 in words is "one billion, four hundred twenty-four million, eight hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1187357 2374714 3562071 4749428 5936785 7124142 9498856 11873570 14248284 17810355 18997712 23747140 28496568 29683925 35620710 47494280 56993136 59367850 71241420 89051775 94988560 118735700 142482840 178103550 237471400 284965680 356207100 474942800 712414200 1424828400