Search a number
-
+
49978680 = 23351093821
BaseRepresentation
bin1011111010100…
…1110100111000
310111001011212020
42332221310320
5100243304210
64543114440
71144545303
oct276516470
9114034766
1049978680
11262367a4
12148a2a20
13a47b7ab
1468cdb3a
1545c3770
hex2fa9d38

49978680 has 64 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 13201920.

The previous prime is 49978667. The next prime is 49978681. The reversal of 49978680 is 8687994.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49978681) 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, 11170 + ... + 14990.

Almost surely, 249978680 is an apocalyptic number.

49978680 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 49978680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

49978680 is an abundant number, since it is smaller than the sum of its proper divisors (101372520).

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

49978680 is a wasteful number, since it uses less digits than its factorization.

49978680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 49978680 is about 7069.5600994687. The cubic root of 49978680 is about 368.3507800521.

The spelling of 49978680 in words is "forty-nine million, nine hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 3821 4360 6540 7642 11463 13080 15284 19105 22926 30568 38210 45852 57315 76420 91704 114630 152840 229260 416489 458520 832978 1249467 1665956 2082445 2498934 3331912 4164890 4997868 6247335 8329780 9995736 12494670 16659560 24989340 49978680