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49263632 = 2411416827
BaseRepresentation
bin1011101111101…
…1010000010000
310102200211222222
42323323100100
5100102414012
64515520212
71135506515
oct273732020
9112624888
1049263632
1125898550
12145b9068
13a28b1a2
14678530c
1544d1972
hex2efb410

49263632 has 40 divisors (see below), whose sum is σ = 106680672. Its totient is φ = 21843200.

The previous prime is 49263629. The next prime is 49263649. The reversal of 49263632 is 23636294.

49263632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49263592 and 49263601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3803 + ... + 10629.

Almost surely, 249263632 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 49263632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340336).

49263632 is an abundant number, since it is smaller than the sum of its proper divisors (57417040).

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

49263632 is a wasteful number, since it uses less digits than its factorization.

49263632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 49263632 is about 7018.8055963960. The cubic root of 49263632 is about 366.5856629141.

It can be divided in two parts, 4926 and 3632, that added together give a palindrome (8558).

The spelling of 49263632 in words is "forty-nine million, two hundred sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 6827 7216 13654 27308 54616 75097 109232 150194 279907 300388 559814 600776 1119628 1201552 2239256 3078977 4478512 6157954 12315908 24631816 49263632