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52129104 = 2433153661
BaseRepresentation
bin1100011011011…
…0110101010000
310122002102200120
43012312311100
5101321112404
65101150240
71202042616
oct306666520
9118072616
1052129104
1127475405
121555b380
13aa52531
146ccd6b6
15489a9d9
hex31b6d50

52129104 has 80 divisors (see below), whose sum is σ = 141848064. Its totient is φ = 16473600.

The previous prime is 52129087. The next prime is 52129117. The reversal of 52129104 is 40192125.

52129104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78534 + ... + 79194.

Almost surely, 252129104 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 52129104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70924032).

52129104 is an abundant number, since it is smaller than the sum of its proper divisors (89718960).

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

52129104 is a wasteful number, since it uses less digits than its factorization.

52129104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 52129104 is about 7220.0487532980. The cubic root of 52129104 is about 373.5597591874.

The spelling of 52129104 in words is "fifty-two million, one hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 186 212 248 318 372 424 496 636 661 744 848 1272 1322 1488 1643 1983 2544 2644 3286 3966 4929 5288 6572 7932 9858 10576 13144 15864 19716 20491 26288 31728 35033 39432 40982 61473 70066 78864 81964 105099 122946 140132 163928 210198 245892 280264 327856 420396 491784 560528 840792 983568 1086023 1681584 2172046 3258069 4344092 6516138 8688184 13032276 17376368 26064552 52129104