Search a number
-
+
4969286000 = 24537250707
BaseRepresentation
bin1001010000011000…
…10100100101110000
3110211022120212212122
410220030110211300
540134114123000
62141033013412
7234100143200
oct45014244560
913738525778
104969286000
11212003a138
12b68254268
13612696923
14351d88400
151e13db085
hex128314970

4969286000 has 120 divisors (see below), whose sum is σ = 13977761616. Its totient is φ = 1703721600.

The previous prime is 4969285991. The next prime is 4969286027. The reversal of 4969286000 is 6829694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72647 + ... + 123353.

Almost surely, 24969286000 is an apocalyptic number.

4969286000 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 4969286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988880808).

4969286000 is an abundant number, since it is smaller than the sum of its proper divisors (9008475616).

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

4969286000 is a wasteful number, since it uses less digits than its factorization.

4969286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50744 (or 50721 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 4969286000 is about 70493.1627890251. The cubic root of 4969286000 is about 1706.4674060034.

The spelling of 4969286000 in words is "four billion, nine hundred sixty-nine million, two hundred eighty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 50707 98000 101414 202828 253535 354949 405656 507070 709898 811312 1014140 1267675 1419796 1774745 2028280 2484643 2535350 2839592 3549490 4056560 4969286 5070700 5679184 6338375 7098980 8873725 9938572 10141400 12423215 12676750 14197960 17747450 19877144 20282800 24846430 25353500 28395920 35494900 39754288 44368625 49692860 50707000 62116075 70989800 88737250 99385720 101414000 124232150 141979600 177474500 198771440 248464300 310580375 354949000 496928600 621160750 709898000 993857200 1242321500 2484643000 4969286000