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561352400 = 24527200483
BaseRepresentation
bin100001011101011…
…000111011010000
31110010021122201122
4201131120323100
52122201234100
6131411421412
716624262630
oct4135307320
91403248648
10561352400
11268961404
12137bb4868
138c3b67ab
14547a66c0
1534436985
hex21758ed0

561352400 has 60 divisors (see below), whose sum is σ = 1541320992. Its totient is φ = 192462720.

The previous prime is 561352387. The next prime is 561352403. The reversal of 561352400 is 4253165.

It is a self number, because there is not a number n which added to its sum of digits gives 561352400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561352403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97442 + ... + 103041.

Almost surely, 2561352400 is an apocalyptic number.

561352400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561352400 is an abundant number, since it is smaller than the sum of its proper divisors (979968592).

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

561352400 is a wasteful number, since it uses less digits than its factorization.

561352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200508 (or 200497 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 561352400 is about 23692.8765665970. The cubic root of 561352400 is about 824.9200534713.

The spelling of 561352400 in words is "five hundred sixty-one million, three hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 200483 400966 801932 1002415 1403381 1603864 2004830 2806762 3207728 4009660 5012075 5613524 7016905 8019320 10024150 11227048 14033810 16038640 20048300 22454096 28067620 35084525 40096600 56135240 70169050 80193200 112270480 140338100 280676200 561352400