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49482504 = 23321813797
BaseRepresentation
bin1011110011000…
…0101100001000
310110002222020100
42330300230020
5100131420004
64524325400
71140410601
oct274605410
9113088210
1049482504
1125a27a35
12146a3860
13a3369b6
146800da8
154526739
hex2f30b08

49482504 has 48 divisors (see below), whose sum is σ = 134791020. Its totient is φ = 16398720.

The previous prime is 49482463. The next prime is 49482509. The reversal of 49482504 is 40528494.

49482504 = T1901 + T1902 + ... + T1927.

It can be written as a sum of positive squares in 2 ways, for example, as 30140100 + 19342404 = 5490^2 + 4398^2 .

It is a super-2 number, since 2×494825042 = 4897036404220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49482509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11134 + ... + 14930.

Almost surely, 249482504 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 49482504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67395510).

49482504 is an abundant number, since it is smaller than the sum of its proper divisors (85308516).

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

49482504 is a wasteful number, since it uses less digits than its factorization.

49482504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 49482504 is about 7034.3801432678. The cubic root of 49482504 is about 367.1277585824.

The spelling of 49482504 in words is "forty-nine million, four hundred eighty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 3797 4344 6516 7594 11391 13032 15188 22782 30376 34173 45564 68346 91128 136692 273384 687257 1374514 2061771 2749028 4123542 5498056 6185313 8247084 12370626 16494168 24741252 49482504