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49221120 = 2935131729
BaseRepresentation
bin1011101111000…
…0111000000000
310102121200200110
42323300320000
5100100033440
64514551320
71135241544
oct273607000
9112550613
1049221120
1125869613
1214598540
13a274a30
146773a24
1544c4080
hex2ef0e00

49221120 has 320 divisors, whose sum is σ = 185613120. Its totient is φ = 11010048.

The previous prime is 49221113. The next prime is 49221157. The reversal of 49221120 is 2112294.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1697266 + ... + 1697294.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 249221120 is an apocalyptic number.

49221120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

49221120 is an abundant number, since it is smaller than the sum of its proper divisors (136392000).

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

49221120 is a wasteful number, since it uses less digits than its factorization.

49221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 49221120 is about 7015.7765072727. The cubic root of 49221120 is about 366.4801843286.

It can be divided in two parts, 492 and 21120, that added together give a palindrome (21612).

The spelling of 49221120 in words is "forty-nine million, two hundred twenty-one thousand, one hundred twenty".