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52149696 = 263475779
BaseRepresentation
bin1100011011101…
…1110111000000
310122010110221020
43012323313000
5101322242241
65101425440
71202156634
oct306736700
9118113836
1052149696
1127489925
121556b280
13aa5ba11
146cd6dc4
1548a1b66
hex31bbdc0

52149696 has 56 divisors (see below), whose sum is σ = 140939520. Its totient is φ = 17010432.

The previous prime is 52149689. The next prime is 52149709. The reversal of 52149696 is 69694125.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6135 + ... + 11913.

Almost surely, 252149696 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 52149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70469760).

52149696 is an abundant number, since it is smaller than the sum of its proper divisors (88789824).

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

52149696 is a wasteful number, since it uses less digits than its factorization.

52149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5831 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 52149696 is about 7221.4746416504. The cubic root of 52149696 is about 373.6089404785.

It can be divided in two parts, 5 and 2149696, that added together give a triangular number (2149701 = T2073).

The spelling of 52149696 in words is "fifty-two million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 5779 9024 11558 17337 23116 34674 46232 69348 92464 138696 184928 271613 277392 369856 543226 554784 814839 1086452 1109568 1629678 2172904 3259356 4345808 6518712 8691616 13037424 17383232 26074848 52149696