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5676675400 = 23521113119697
BaseRepresentation
bin1010100100101101…
…10011000101001000
3112122121122222201001
411102112303011020
543111212103100
62335142504344
7260446642024
oct52226630510
915577588631
105676675400
112453376280
1211251350b4
136c60c2536
143bbcc7384
1523356cd6a
hex1525b3148

5676675400 has 96 divisors (see below), whose sum is σ = 14508758880. Its totient is φ = 2048384000.

The previous prime is 5676675373. The next prime is 5676675409. The reversal of 5676675400 is 45766765.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5676675409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278352 + ... + 298048.

It is an arithmetic number, because the mean of its divisors is an integer number (151132905).

Almost surely, 25676675400 is an apocalyptic number.

5676675400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5676675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254379440).

5676675400 is an abundant number, since it is smaller than the sum of its proper divisors (8832083480).

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

5676675400 is a wasteful number, since it uses less digits than its factorization.

5676675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19855 (or 19846 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The square root of 5676675400 is about 75343.7150663544. The cubic root of 5676675400 is about 1783.8761007414.

The spelling of 5676675400 in words is "five billion, six hundred seventy-six million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 131 200 220 262 275 440 524 550 655 1048 1100 1310 1441 2200 2620 2882 3275 5240 5764 6550 7205 11528 13100 14410 19697 26200 28820 36025 39394 57640 72050 78788 98485 144100 157576 196970 216667 288200 393940 433334 492425 787880 866668 984850 1083335 1733336 1969700 2166670 2580307 3939400 4333340 5160614 5416675 8666680 10321228 10833350 12901535 20642456 21666700 25803070 28383377 43333400 51606140 56766754 64507675 103212280 113533508 129015350 141916885 227067016 258030700 283833770 516061400 567667540 709584425 1135335080 1419168850 2838337700 5676675400