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51116600 = 2352431593
BaseRepresentation
bin1100001011111…
…1101000111000
310120011222210102
43002333220320
5101041212400
65023334532
71160324663
oct302775070
9116158712
1051116600
1126943727
1215151448
13a789712
146b086da
15474a9d5
hex30bfa38

51116600 has 48 divisors (see below), whose sum is σ = 119322720. Its totient is φ = 20364800.

The previous prime is 51116591. The next prime is 51116609. The reversal of 51116600 is 661115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51116591) and next prime (51116609).

It is a super-2 number, since 2×511166002 = 5225813591120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51116609) 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, 85904 + ... + 86496.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 251116600 is an apocalyptic number.

51116600 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 51116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59661360).

51116600 is an abundant number, since it is smaller than the sum of its proper divisors (68206120).

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

51116600 is a wasteful number, since it uses less digits than its factorization.

51116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 51116600 is about 7149.5874006826. The cubic root of 51116600 is about 371.1253781021.

Adding to 51116600 its reverse (661115), we get a palindrome (51777715).

It can be divided in two parts, 5111 and 6600, that added together give a palindrome (11711).

The spelling of 51116600 in words is "fifty-one million, one hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 593 862 1186 1724 2155 2372 2965 3448 4310 4744 5930 8620 10775 11860 14825 17240 21550 23720 29650 43100 59300 86200 118600 255583 511166 1022332 1277915 2044664 2555830 5111660 6389575 10223320 12779150 25558300 51116600