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5047530400 = 255211619403
BaseRepresentation
bin1001011001101101…
…10011001110100000
3111000202211010000101
410230312303032200
540314131433100
62152510032144
7236040205033
oct45466631640
914022733011
105047530400
112160221330
12b8a4a8654
13625960ba3
1435c51501a
151e81e486a
hex12cdb33a0

5047530400 has 144 divisors (see below), whose sum is σ = 13664312928. Its totient is φ = 1805184000.

The previous prime is 5047530379. The next prime is 5047530403. The reversal of 5047530400 is 40357405.

It is not an unprimeable number, because it can be changed into a prime (5047530403) 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, 532099 + ... + 541501.

It is an arithmetic number, because the mean of its divisors is an integer number (94891062).

Almost surely, 25047530400 is an apocalyptic number.

5047530400 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 5047530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832156464).

5047530400 is an abundant number, since it is smaller than the sum of its proper divisors (8616782528).

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

5047530400 is a wasteful number, since it uses less digits than its factorization.

5047530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 5047530400 is about 71045.9738479247. The cubic root of 5047530400 is about 1715.3772569474.

Adding to 5047530400 its reverse (40357405), we get a palindrome (5087887805).

The spelling of 5047530400 in words is "five billion, forty-seven million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 80 88 100 110 122 160 176 200 220 244 275 305 352 400 440 488 550 610 671 800 880 976 1100 1220 1342 1525 1760 1952 2200 2440 2684 3050 3355 4400 4880 5368 6100 6710 8800 9403 9760 10736 12200 13420 16775 18806 21472 24400 26840 33550 37612 47015 48800 53680 67100 75224 94030 103433 107360 134200 150448 188060 206866 235075 268400 300896 376120 413732 470150 517165 536800 573583 752240 827464 940300 1034330 1147166 1504480 1654928 1880600 2068660 2294332 2585825 2867915 3309856 3761200 4137320 4588664 5171650 5735830 6309413 7522400 8274640 9177328 10343300 11471660 12618826 14339575 16549280 18354656 20686600 22943320 25237652 28679150 31547065 41373200 45886640 50475304 57358300 63094130 82746400 91773280 100950608 114716600 126188260 157735325 201901216 229433200 252376520 315470650 458866400 504753040 630941300 1009506080 1261882600 2523765200 5047530400