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2036897424 = 243237612
BaseRepresentation
bin111100101101000…
…1001011010010000
312020221210002222100
41321122021122100
513132421204144
6534041440400
7101322225312
oct17132113220
95227702870
102036897424
11955859201
1248a1a0100
13265cc5963
141547417b2
15bdc50269
hex79689690

2036897424 has 45 divisors (see below), whose sum is σ = 5701999849. Its totient is φ = 678785280.

The previous prime is 2036897407. The next prime is 2036897453. The reversal of 2036897424 is 4247986302.

The square root of 2036897424 is 45132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 907937424 + 1128960000 = 30132^2 + 33600^2 .

It is a super-2 number, since 2×20368974242 = 8297902231795671552, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2036897424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 539704 + ... + 543464.

Almost surely, 22036897424 is an apocalyptic number.

2036897424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2036897424 is the 45132-nd square number.

It is an amenable number.

2036897424 is an abundant number, since it is smaller than the sum of its proper divisors (3665102425).

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

2036897424 is an frugal number, since it uses more digits than its factorization.

2036897424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 2036897424 is about 1267.6218591335.

The spelling of 2036897424 in words is "two billion, thirty-six million, eight hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3761 7522 11283 15044 22566 30088 33849 45132 60176 67698 90264 135396 180528 270792 541584 14145121 28290242 42435363 56580484 84870726 113160968 127306089 169741452 226321936 254612178 339482904 509224356 678965808 1018448712 2036897424