Search a number
-
+
249970350 = 23527317751
BaseRepresentation
bin11101110011000…
…11111010101110
3122102100210212010
432321203322232
51002443022400
640445422050
76123466350
oct1671437256
9572323763
10249970350
11119113473
126b86a926
133ca32066
14252ad0d0
1516e2a450
hexee63eae

249970350 has 96 divisors (see below), whose sum is σ = 711668736. Its totient is φ = 56880000.

The previous prime is 249970321. The next prime is 249970379. The reversal of 249970350 is 53079942.

249970350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249970321) and next prime (249970379).

It is a junction number, because it is equal to n+sod(n) for n = 249970299 and 249970308.

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, 332475 + ... + 333225.

It is an arithmetic number, because the mean of its divisors is an integer number (7413216).

Almost surely, 2249970350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249970350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355834368).

249970350 is an abundant number, since it is smaller than the sum of its proper divisors (461698386).

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

249970350 is a wasteful number, since it uses less digits than its factorization.

249970350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 249970350 is about 15810.4506577137. The cubic root of 249970350 is about 629.9356195234.

The spelling of 249970350 in words is "two hundred forty-nine million, nine hundred seventy thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 317 350 525 634 751 951 1050 1502 1585 1902 2219 2253 3170 3755 4438 4506 4755 5257 6657 7510 7925 9510 10514 11095 11265 13314 15771 15850 18775 22190 22530 23775 26285 31542 33285 37550 47550 52570 55475 56325 66570 78855 110950 112650 131425 157710 166425 238067 262850 332850 394275 476134 714201 788550 1190335 1428402 1666469 2380670 3332938 3571005 4999407 5951675 7142010 8332345 9998814 11903350 16664690 17855025 24997035 35710050 41661725 49994070 83323450 124985175 249970350