Search a number
-
+
49932648 = 23326111369
BaseRepresentation
bin1011111001111…
…0100101101000
310110221211201100
42332132211220
5100240321043
64542121400
71144264143
oct276364550
9113854640
1049932648
1126205157
1214880260
13a46385c
1468bb05a
1545b4cd3
hex2f9e968

49932648 has 48 divisors (see below), whose sum is σ = 137463300. Its totient is φ = 16369920.

The previous prime is 49932637. The next prime is 49932653. The reversal of 49932648 is 84623994.

It can be written as a sum of positive squares in 2 ways, for example, as 46539684 + 3392964 = 6822^2 + 1842^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293 + ... + 10076.

Almost surely, 249932648 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 49932648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68731650).

49932648 is an abundant number, since it is smaller than the sum of its proper divisors (87530652).

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

49932648 is a wasteful number, since it uses less digits than its factorization.

49932648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442 (or 11435 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49932648 is about 7066.3037013703. The cubic root of 49932648 is about 368.2376576072.

The spelling of 49932648 in words is "forty-nine million, nine hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 11369 22738 34107 45476 68214 90952 102321 136428 204642 272856 409284 693509 818568 1387018 2080527 2774036 4161054 5548072 6241581 8322108 12483162 16644216 24966324 49932648