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5043522400 = 255275316993
BaseRepresentation
bin1001011001001111…
…00000101101100000
3111000111021111001221
410230213200231200
540312120204100
62152244104424
7235661142640
oct45447405540
914014244057
105043522400
112158a34034
12b89095114
13624b897a7
1435bb90520
151e7ba201a
hex12c9e0b60

5043522400 has 144 divisors (see below), whose sum is σ = 14337769824. Its totient is φ = 1696481280.

The previous prime is 5043522383. The next prime is 5043522403. The reversal of 5043522400 is 42253405.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5043522403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288304 + ... + 305296.

It is an arithmetic number, because the mean of its divisors is an integer number (99567846).

Almost surely, 25043522400 is an apocalyptic number.

5043522400 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 5043522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168884912).

5043522400 is an abundant number, since it is smaller than the sum of its proper divisors (9294247424).

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

5043522400 is a wasteful number, since it uses less digits than its factorization.

5043522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17073 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5043522400 is about 71017.7611587411. The cubic root of 5043522400 is about 1714.9231039876.

Adding to 5043522400 its reverse (42253405), we get a palindrome (5085775805).

The spelling of 5043522400 in words is "five billion, forty-three million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 70 80 100 106 112 140 160 175 200 212 224 265 280 350 371 400 424 530 560 700 742 800 848 1060 1120 1325 1400 1484 1696 1855 2120 2650 2800 2968 3710 4240 5300 5600 5936 7420 8480 9275 10600 11872 14840 16993 18550 21200 29680 33986 37100 42400 59360 67972 74200 84965 118951 135944 148400 169930 237902 271888 296800 339860 424825 475804 543776 594755 679720 849650 900629 951608 1189510 1359440 1699300 1801258 1903216 2379020 2718880 2973775 3398600 3602516 3806432 4503145 4758040 5947550 6304403 6797200 7205032 9006290 9516080 11895100 12608806 13594400 14410064 18012580 19032160 22515725 23790200 25217612 28820128 31522015 36025160 45031450 47580400 50435224 63044030 72050320 90062900 95160800 100870448 126088060 144100640 157610075 180125800 201740896 252176120 315220150 360251600 504352240 630440300 720503200 1008704480 1260880600 2521761200 5043522400