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245433500 = 22531361619
BaseRepresentation
bin11101010000100…
…00010010011100
3122002211022110122
432220100102130
51000312333000
640204254112
76040102364
oct1650202234
9562738418
10245433500
111165a4904
126a241338
133bb04030
142484b9a4
1516831085
hexea1049c

245433500 has 96 divisors (see below), whose sum is σ = 587670720. Its totient is φ = 88992000.

The previous prime is 245433499. The next prime is 245433527. The reversal of 245433500 is 5334542.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 245433500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396191 + ... + 396809.

It is an arithmetic number, because the mean of its divisors is an integer number (6121570).

Almost surely, 2245433500 is an apocalyptic number.

245433500 is a gapful number since it is divisible by the number (20) 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 245433500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293835360).

245433500 is an abundant number, since it is smaller than the sum of its proper divisors (342237220).

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

245433500 is a wasteful number, since it uses less digits than its factorization.

245433500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 245433500 is about 15666.3173719927. The cubic root of 245433500 is about 626.1013115740.

The spelling of 245433500 in words is "two hundred forty-five million, four hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 125 130 244 250 260 305 325 500 610 619 650 793 1220 1238 1300 1525 1586 1625 2476 3050 3095 3172 3250 3965 6100 6190 6500 7625 7930 8047 12380 15250 15475 15860 16094 19825 30500 30950 32188 37759 39650 40235 61900 75518 77375 79300 80470 99125 151036 154750 160940 188795 198250 201175 309500 377590 396500 402350 490867 755180 804700 943975 981734 1005875 1887950 1963468 2011750 2454335 3775900 4023500 4719875 4908670 9439750 9817340 12271675 18879500 24543350 49086700 61358375 122716750 245433500