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49293828 = 22321923793
BaseRepresentation
bin1011110000001…
…0101000000100
310102202101102100
42330002220010
5100104400303
64520312100
71135663533
oct274025004
9112671370
1049293828
1125909201
1214612630
13a29bb5c
14679231a
1544da8a3
hex2f02a04

49293828 has 54 divisors (see below), whose sum is σ = 131541774. Its totient is φ = 15562368.

The previous prime is 49293821. The next prime is 49293841. The reversal of 49293828 is 82839294.

It can be written as a sum of positive squares in only one way, i.e., 35141184 + 14152644 = 5928^2 + 3762^2 .

It is not an unprimeable number, because it can be changed into a prime (49293821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11100 + ... + 14892.

Almost surely, 249293828 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 49293828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65770887).

49293828 is an abundant number, since it is smaller than the sum of its proper divisors (82247946).

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

49293828 is a wasteful number, since it uses less digits than its factorization.

49293828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3817 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49293828 is about 7020.9563451142. The cubic root of 49293828 is about 366.6605468216.

The spelling of 49293828 in words is "forty-nine million, two hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 3793 4332 6498 7586 11379 12996 15172 22758 34137 45516 68274 72067 136548 144134 216201 288268 432402 648603 864804 1297206 1369273 2594412 2738546 4107819 5477092 8215638 12323457 16431276 24646914 49293828