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49201232 = 242325813
BaseRepresentation
bin1011101110110…
…0000001010000
310102120200101212
42323230001100
5100043414412
64514315252
71135126553
oct273540120
9112520355
1049201232
1125855683
1214588b28
13a268972
14676a69a
1544bd222
hex2eec050

49201232 has 30 divisors (see below), whose sum is σ = 99669402. Its totient is φ = 23526976.

The previous prime is 49201211. The next prime is 49201259. The reversal of 49201232 is 23210294.

It can be written as a sum of positive squares in only one way, i.e., 45104656 + 4096576 = 6716^2 + 2024^2 .

It is a super-2 number, since 2×492012322 = 4841522460635648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 49201198 and 49201207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5558 + ... + 11370.

Almost surely, 249201232 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 49201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49834701).

49201232 is an abundant number, since it is smaller than the sum of its proper divisors (50468170).

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

49201232 is a wasteful number, since it uses less digits than its factorization.

49201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 49201232 is about 7014.3589871064. The cubic root of 49201232 is about 366.4308183939.

The spelling of 49201232 in words is "forty-nine million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 5813 8464 11626 23252 46504 93008 133699 267398 534796 1069592 2139184 3075077 6150154 12300308 24600616 49201232