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49281940 = 22531101787
BaseRepresentation
bin1011101111111…
…1101110010100
310102201210010001
42323333232110
5100104010230
64520141044
71135614061
oct273775624
9112653101
1049281940
1125900284
1214607784
13a296616
14678bc68
1544d70ca
hex2effb94

49281940 has 48 divisors (see below), whose sum is σ = 108025344. Its totient is φ = 18864000.

The previous prime is 49281937. The next prime is 49281943. The reversal of 49281940 is 4918294.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49281937) and next prime (49281943).

It is a super-2 number, since 2×492819402 = 4857419220327200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49281940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49281943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62227 + ... + 63013.

It is an arithmetic number, because the mean of its divisors is an integer number (2250528).

Almost surely, 249281940 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 49281940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54012672).

49281940 is an abundant number, since it is smaller than the sum of its proper divisors (58743404).

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

49281940 is a wasteful number, since it uses less digits than its factorization.

49281940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 49281940 is about 7020.1096857528. The cubic root of 49281940 is about 366.6310690878.

The spelling of 49281940 in words is "forty-nine million, two hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 787 1010 1574 2020 3131 3148 3935 6262 7870 12524 15655 15740 24397 31310 48794 62620 79487 97588 121985 158974 243970 317948 397435 487940 794870 1589740 2464097 4928194 9856388 12320485 24640970 49281940