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52007104 = 261922251
BaseRepresentation
bin1100011001100…
…1000011000000
310121212020100001
43012121003000
5101303211404
65054405344
71201024132
oct306310300
9117766301
1052007104
11273a1786
1215500854
13aa0bb46
146c9b052
1548747a4
hex31990c0

52007104 has 42 divisors (see below), whose sum is σ = 108967524. Its totient is φ = 24624000.

The previous prime is 52007101. The next prime is 52007107. The reversal of 52007104 is 40170025.

It is an interprime number because it is at equal distance from previous prime (52007101) and next prime (52007107).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (52007101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21979 + ... + 24229.

Almost surely, 252007104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54483762).

52007104 is an abundant number, since it is smaller than the sum of its proper divisors (56960420).

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

52007104 is a wasteful number, since it uses less digits than its factorization.

52007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 52007104 is about 7211.5951078801. The cubic root of 52007104 is about 373.2681121893.

Adding to 52007104 its reverse (40170025), we get a palindrome (92177129).

The spelling of 52007104 in words is "fifty-two million, seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2251 2888 4502 5776 9004 11552 18008 23104 36016 42769 72032 85538 144064 171076 342152 684304 812611 1368608 1625222 2737216 3250444 6500888 13001776 26003552 52007104