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5023332000 = 253253139537
BaseRepresentation
bin1001010110110100…
…11111011010100000
3110222002021201001100
410223122133122200
540241433111000
62150243234400
7235324421541
oct45332373240
913862251040
105023332000
1121485a3755
12b82378a00
1362093a7cb
143592164c8
151e6014a00
hex12b69f6a0

5023332000 has 144 divisors (see below), whose sum is σ = 17827933032. Its totient is φ = 1339545600.

The previous prime is 5023331993. The next prime is 5023332001. The reversal of 5023332000 is 2333205.

It can be written as a sum of positive squares in 4 ways, for example, as 2111218704 + 2912113296 = 45948^2 + 53964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5023332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33769 + ... + 105768.

Almost surely, 25023332000 is an apocalyptic number.

5023332000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5023332000 is an abundant number, since it is smaller than the sum of its proper divisors (12804601032).

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

5023332000 is a wasteful number, since it uses less digits than its factorization.

5023332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139568 (or 139547 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 5023332000 is about 70875.4682524214. The cubic root of 5023332000 is about 1712.6316307082.

Adding to 5023332000 its reverse (2333205), we get a palindrome (5025665205).

The spelling of 5023332000 in words is "five billion, twenty-three million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 139537 279074 418611 558148 697685 837222 1116296 1255833 1395370 1674444 2093055 2232592 2511666 2790740 3348888 3488425 4186110 4465184 5023332 5581480 6279165 6697776 6976850 8372220 10046664 10465275 11162960 12558330 13395552 13953700 16744440 17442125 20093328 20930550 22325920 25116660 27907400 31395825 33488880 34884250 40186656 41861100 50233320 52326375 55814800 62791650 66977760 69768500 83722200 100466640 104652750 111629600 125583300 139537000 156979125 167444400 200933280 209305500 251166600 279074000 313958250 334888800 418611000 502333200 558148000 627916500 837222000 1004666400 1255833000 1674444000 2511666000 5023332000