Search a number
-
+
49933416 = 233133947
BaseRepresentation
bin1011111001111…
…0110001101000
310110221212202210
42332132301220
5100240332131
64542125120
71144266321
oct276366150
9113855683
1049933416
1126205795
12148807a0
13a464000
1468bb448
1545b5146
hex2f9ec68

49933416 has 64 divisors (see below), whose sum is σ = 135374400. Its totient is φ = 15347904.

The previous prime is 49933357. The next prime is 49933421. The reversal of 49933416 is 61433994.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52255 + ... + 53201.

It is an arithmetic number, because the mean of its divisors is an integer number (2115225).

Almost surely, 249933416 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 49933416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

49933416 is an abundant number, since it is smaller than the sum of its proper divisors (85440984).

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

49933416 is a wasteful number, since it uses less digits than its factorization.

49933416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 965 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 49933416 is about 7066.3580435752. The cubic root of 49933416 is about 368.2395455175.

The spelling of 49933416 in words is "forty-nine million, nine hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 947 1014 1352 1894 2028 2197 2841 3788 4056 4394 5682 6591 7576 8788 11364 12311 13182 17576 22728 24622 26364 36933 49244 52728 73866 98488 147732 160043 295464 320086 480129 640172 960258 1280344 1920516 2080559 3841032 4161118 6241677 8322236 12483354 16644472 24966708 49933416