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49372840 = 2351121012
BaseRepresentation
bin1011110001010…
…1111010101000
310102220101210201
42330111322220
5100114412330
64522121544
71136443066
oct274257250
9112811721
1049372840
1125962600
12146502b4
13a2c8aca
1467b3036
154503eca
hex2f15ea8

49372840 has 72 divisors (see below), whose sum is σ = 123326910. Its totient is φ = 17776000.

The previous prime is 49372831. The next prime is 49372847. The reversal of 49372840 is 4827394.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48636676 + 736164 = 6974^2 + 858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49372840.

It is not an unprimeable number, because it can be changed into a prime (49372847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 488790 + ... + 488890.

Almost surely, 249372840 is an apocalyptic number.

49372840 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 49372840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61663455).

49372840 is an abundant number, since it is smaller than the sum of its proper divisors (73954070).

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

49372840 is a wasteful number, since it uses less digits than its factorization.

49372840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 49372840 is about 7026.5809608941. The cubic root of 49372840 is about 366.8563463047.

It can be divided in two parts, 4937 and 2840, that added together give a palindrome (7777).

The spelling of 49372840 in words is "forty-nine million, three hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 10201 11110 12221 20402 22220 24442 40804 44440 48884 51005 61105 81608 97768 102010 112211 122210 204020 224422 244420 408040 448844 488840 561055 897688 1122110 1234321 2244220 2468642 4488440 4937284 6171605 9874568 12343210 24686420 49372840