Search a number
-
+
244858950 = 2355272879
BaseRepresentation
bin11101001100001…
…00000001000110
3122001202010100000
432212010001012
51000140441300
640144102130
76032160330
oct1646040106
9561663300
10244858950
11116242176
126a004946
133b96266b
142473c450
151676ac00
hexe984046

244858950 has 144 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 55948320.

The previous prime is 244858931. The next prime is 244858951. The reversal of 244858950 is 59858442.

244858950 is a `hidden beast` number, since 24 + 48 + 589 + 5 + 0 = 666.

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 = 244858896 and 244858905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244858951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83611 + ... + 86489.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2244858950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244858950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

244858950 is an abundant number, since it is smaller than the sum of its proper divisors (535091130).

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

244858950 is a wasteful number, since it uses less digits than its factorization.

244858950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 244858950 is about 15647.9695168415. The cubic root of 244858950 is about 625.6123704746.

The spelling of 244858950 in words is "two hundred forty-four million, eight hundred fifty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1890 2025 2430 2835 2879 3150 3402 4050 4725 5670 5758 6075 8505 8637 9450 12150 14175 14395 17010 17274 20153 25911 28350 28790 40306 42525 43185 51822 60459 71975 77733 85050 86370 100765 120918 129555 143950 155466 181377 201530 215925 233199 259110 302295 362754 388665 431850 466398 503825 544131 604590 647775 699597 777330 906885 1007650 1088262 1165995 1295550 1399194 1511475 1632393 1813770 1943325 2331990 2720655 3022950 3264786 3497985 3886650 4534425 4897179 5441310 5829975 6995970 8161965 9068850 9794358 11659950 13603275 16323930 17489925 24485895 27206550 34979850 40809825 48971790 81619650 122429475 244858950