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499498900 = 225229414201
BaseRepresentation
bin11101110001011…
…011111110010100
31021210220011200021
4131301123332110
52010332431100
6121321554524
715243446005
oct3561337624
91253804607
10499498900
11236a54a0a
1211b345a44
137c63aca4
144a4a51ac
152dcb9a1a
hex1dc5bf94

499498900 has 72 divisors (see below), whose sum is σ = 1148910840. Its totient is φ = 188160000.

The previous prime is 499498817. The next prime is 499498919. The reversal of 499498900 is 9894994.

It can be written as a sum of positive squares in 12 ways, for example, as 387223684 + 112275216 = 19678^2 + 10596^2 .

It is a super-2 number, since 2×4994989002 = 498998302202420000, which contains 22 as substring.

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, 116800 + ... + 121000.

It is an arithmetic number, because the mean of its divisors is an integer number (15957095).

Almost surely, 2499498900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499498900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574455420).

499498900 is an abundant number, since it is smaller than the sum of its proper divisors (649411940).

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

499498900 is a wasteful number, since it uses less digits than its factorization.

499498900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 499498900 is about 22349.4720295581. The cubic root of 499498900 is about 793.4352884683.

It can be divided in two parts, 49 and 9498900, that added together give a palindrome (9498949).

The spelling of 499498900 in words is "four hundred ninety-nine million, four hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2378 2900 4100 4201 4756 5945 8402 11890 16804 21005 23780 29725 42010 59450 84020 105025 118900 121829 172241 210050 243658 344482 420100 487316 609145 688964 861205 1218290 1722410 2436580 3045725 3444820 4306025 4994989 6091450 8612050 9989978 12182900 17224100 19979956 24974945 49949890 99899780 124874725 249749450 499498900