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5224435040 = 2551111512579
BaseRepresentation
bin1001101110110011…
…01000110101100000
3111111002200210120002
410313121220311200
541144423410130
62222225435132
7243315652016
oct46731506540
914432623502
105224435040
11224106a410
12101979baa8
136534bcba6
14377c048b6
152089dab45
hex137668d60

5224435040 has 96 divisors (see below), whose sum is σ = 13481717760. Its totient is φ = 1897408000.

The previous prime is 5224435003. The next prime is 5224435049. The reversal of 5224435040 is 405344225.

It is a junction number, because it is equal to n+sod(n) for n = 5224434994 and 5224435012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5224435049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024471 + ... + 2027049.

It is an arithmetic number, because the mean of its divisors is an integer number (140434560).

Almost surely, 25224435040 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 5224435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740858880).

5224435040 is an abundant number, since it is smaller than the sum of its proper divisors (8257282720).

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

5224435040 is a wasteful number, since it uses less digits than its factorization.

5224435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 5224435040 is about 72280.2534583271. The cubic root of 5224435040 is about 1735.1876362220.

Adding to 5224435040 its reverse (405344225), we get a palindrome (5629779265).

The spelling of 5224435040 in words is "five billion, two hundred twenty-four million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1151 1760 2302 2579 4604 5158 5755 9208 10316 11510 12661 12895 18416 20632 23020 25322 25790 28369 36832 41264 46040 50644 51580 56738 63305 82528 92080 101288 103160 113476 126610 141845 184160 202576 206320 226952 253220 283690 405152 412640 453904 506440 567380 907808 1012880 1134760 2025760 2269520 2968429 4539040 5936858 11873716 14842145 23747432 29684290 32652719 47494864 59368580 65305438 94989728 118737160 130610876 163263595 237474320 261221752 326527190 474948640 522443504 653054380 1044887008 1306108760 2612217520 5224435040