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4973250304 = 28111992951
BaseRepresentation
bin1001010000110110…
…11100011100000000
3110211121001021212201
410220123130130000
540141123002204
62141254002544
7234145634011
oct45033343400
913747037781
104973250304
1121222a7620
12b69646454
13613454179
143526db008
151e19209a4
hex1286dc700

4973250304 has 72 divisors (see below), whose sum is σ = 11399633280. Its totient is φ = 2141568000.

The previous prime is 4973250287. The next prime is 4973250307. The reversal of 4973250304 is 4030523794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973250307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7029 + ... + 99979.

It is an arithmetic number, because the mean of its divisors is an integer number (158328240).

Almost surely, 24973250304 is an apocalyptic number.

4973250304 is a gapful number since it is divisible by the number (44) 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 4973250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699816640).

4973250304 is an abundant number, since it is smaller than the sum of its proper divisors (6426382976).

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

4973250304 is a wasteful number, since it uses less digits than its factorization.

4973250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92997 (or 92983 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 4973250304 is about 70521.2755414988. The cubic root of 4973250304 is about 1706.9210699315.

The spelling of 4973250304 in words is "four billion, nine hundred seventy-three million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1216 1408 1672 2432 2816 3344 4864 6688 13376 26752 53504 92951 185902 371804 743608 1022461 1487216 1766069 2044922 2974432 3532138 4089844 5948864 7064276 8179688 11897728 14128552 16359376 19426759 23795456 28257104 32718752 38853518 56514208 65437504 77707036 113028416 130875008 155414072 226056832 261750016 310828144 452113664 621656288 1243312576 2486625152 4973250304