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49963140 = 223251971409
BaseRepresentation
bin1011111010011…
…0000010000100
310111000101112200
42332212002010
5100242310030
64542514500
71144452063
oct276460204
9114011480
1049963140
1126226057
1214895a30
13a4746b6
1468c81da
1545bdd60
hex2fa6084

49963140 has 72 divisors (see below), whose sum is σ = 152432280. Its totient is φ = 13246464.

The previous prime is 49963139. The next prime is 49963157. The reversal of 49963140 is 4136994.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 45400644 = 2136^2 + 6738^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 49963095 and 49963104.

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 23 ways as a sum of consecutive naturals, for example, 34756 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (2117115).

Almost surely, 249963140 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 49963140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76216140).

49963140 is an abundant number, since it is smaller than the sum of its proper divisors (102469140).

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

49963140 is a wasteful number, since it uses less digits than its factorization.

49963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 49963140 is about 7068.4609357342. The cubic root of 49963140 is about 368.3125986749.

The spelling of 49963140 in words is "forty-nine million, nine hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1409 1773 1970 2364 2818 2955 3546 3940 4227 5636 5910 7045 7092 8454 8865 11820 12681 14090 16908 17730 21135 25362 28180 35460 42270 50724 63405 84540 126810 253620 277573 555146 832719 1110292 1387865 1665438 2498157 2775730 3330876 4163595 4996314 5551460 8327190 9992628 12490785 16654380 24981570 49963140