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5142022400 = 2852803441
BaseRepresentation
bin1001100100111110…
…10000100100000000
3111021100121210200002
410302133100210000
541012324204100
62210123215132
7241265316644
oct46237204400
914240553602
105142022400
1121a95a0599
12bb60774a8
1363c3c6608
1436acb0c24
1520165c2d5
hex1327d0900

5142022400 has 54 divisors (see below), whose sum is σ = 12727324722. Its totient is φ = 2056806400.

The previous prime is 5142022373. The next prime is 5142022411. The reversal of 5142022400 is 42202415.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1714622464 + 3427399936 = 41408^2 + 58544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395321 + ... + 408120.

Almost surely, 25142022400 is an apocalyptic number.

5142022400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5142022400 is an abundant number, since it is smaller than the sum of its proper divisors (7585302322).

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

5142022400 is an equidigital number, since it uses as much as digits as its factorization.

5142022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803467 (or 803448 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5142022400 is about 71707.8963573748. The cubic root of 5142022400 is about 1726.0153540650.

Adding to 5142022400 its reverse (42202415), we get a palindrome (5184224815).

The spelling of 5142022400 in words is "five billion, one hundred forty-two million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 803441 1606882 3213764 4017205 6427528 8034410 12855056 16068820 20086025 25710112 32137640 40172050 51420224 64275280 80344100 102840448 128550560 160688200 205680896 257101120 321376400 514202240 642752800 1028404480 1285505600 2571011200 5142022400