Search a number
-
+
49407880 = 23529191223
BaseRepresentation
bin1011110001111…
…0011110001000
310102222011212111
42330132132020
5100122023010
64522552104
71136650204
oct274363610
9112864774
1049407880
1125986965
1214668634
13a30ba42
1467c1b04
15450e58a
hex2f1e788

49407880 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 18896640.

The previous prime is 49407863. The next prime is 49407881. The reversal of 49407880 is 8870494.

It is a super-2 number, since 2×494078802 = 4882277212188800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49407881) 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, 221449 + ... + 221671.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 249407880 is an apocalyptic number.

49407880 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 49407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

49407880 is an abundant number, since it is smaller than the sum of its proper divisors (66713720).

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

49407880 is a wasteful number, since it uses less digits than its factorization.

49407880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 49407880 is about 7029.0739077065. The cubic root of 49407880 is about 366.9431120014.

The spelling of 49407880 in words is "forty-nine million, four hundred seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 191 223 232 290 382 446 580 764 892 955 1115 1160 1528 1784 1910 2230 3820 4460 5539 6467 7640 8920 11078 12934 22156 25868 27695 32335 42593 44312 51736 55390 64670 85186 110780 129340 170372 212965 221560 258680 340744 425930 851860 1235197 1703720 2470394 4940788 6175985 9881576 12351970 24703940 49407880