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5304501400 = 2352114874951
BaseRepresentation
bin1001111000010110…
…00100010010011000
3111200200100120221211
410330023010102120
541330423021100
62234205512504
7245310342442
oct47413042230
914620316854
105304501400
112282286460
121040572734
13666c74533
143846c7492
15210a541ba
hex13c2c4498

5304501400 has 96 divisors (see below), whose sum is σ = 13484494080. Its totient is φ = 1924560000.

The previous prime is 5304501361. The next prime is 5304501439. The reversal of 5304501400 is 41054035.

It is an interprime number because it is at equal distance from previous prime (5304501361) and next prime (5304501439).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1068925 + ... + 1073875.

It is an arithmetic number, because the mean of its divisors is an integer number (140463480).

Almost surely, 25304501400 is an apocalyptic number.

5304501400 is a gapful number since it is divisible by the number (50) 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 5304501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742247040).

5304501400 is an abundant number, since it is smaller than the sum of its proper divisors (8179992680).

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

5304501400 is a wasteful number, since it uses less digits than its factorization.

5304501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5304501400 is about 72832.0080733739. The cubic root of 5304501400 is about 1744.0068622952.

Adding to 5304501400 its reverse (41054035), we get a palindrome (5345555435).

The spelling of 5304501400 in words is "five billion, three hundred four million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 487 550 974 1100 1948 2200 2435 3896 4870 4951 5357 9740 9902 10714 12175 19480 19804 21428 24350 24755 26785 39608 42856 48700 49510 53570 54461 97400 99020 107140 108922 123775 133925 198040 214280 217844 247550 267850 272305 435688 495100 535700 544610 990200 1071400 1089220 1361525 2178440 2411137 2723050 4822274 5446100 9644548 10892200 12055685 19289096 24111370 26522507 48222740 53045014 60278425 96445480 106090028 120556850 132612535 212180056 241113700 265225070 482227400 530450140 663062675 1060900280 1326125350 2652250700 5304501400