Search a number
-
+
798904350 = 233521135237
BaseRepresentation
bin101111100111100…
…101000000011110
32001200021112202000
4233213211000132
53114004414400
6211135143130
725540401126
oct5747450036
92050245660
10798904350
1137aa62732
121a3674aa6
13c968b28a
1478161c86
154a20c600
hex2f9e501e

798904350 has 96 divisors (see below), whose sum is σ = 2221331040. Its totient is φ = 211115520.

The previous prime is 798904349. The next prime is 798904363. The reversal of 798904350 is 53409897.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 798904296 and 798904305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149932 + ... + 155168.

It is an arithmetic number, because the mean of its divisors is an integer number (23138865).

Almost surely, 2798904350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798904350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110665520).

798904350 is an abundant number, since it is smaller than the sum of its proper divisors (1422426690).

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

798904350 is a wasteful number, since it uses less digits than its factorization.

798904350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 798904350 is about 28264.8960726906. The cubic root of 798904350 is about 927.8937767029.

The spelling of 798904350 in words is "seven hundred ninety-eight million, nine hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 113 135 150 225 226 270 339 450 565 675 678 1017 1130 1350 1695 2034 2825 3051 3390 5085 5237 5650 6102 8475 10170 10474 15255 15711 16950 25425 26185 30510 31422 47133 50850 52370 76275 78555 94266 130925 141399 152550 157110 235665 261850 282798 392775 471330 591781 706995 785550 1178325 1183562 1413990 1775343 2356650 2958905 3534975 3550686 5326029 5917810 7069950 8876715 10652058 14794525 15978087 17753430 26630145 29589050 31956174 44383575 53260290 79890435 88767150 133150725 159780870 266301450 399452175 798904350