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4024253000 = 235313073079
BaseRepresentation
bin1110111111011101…
…0011101001001000
3101101110100020022102
43233313103221020
531220202044000
61503153412532
7201503405015
oct35767235110
911343306272
104024253000
111785649929
1294386a148
134c19638c1
142a266870c
151884663d5
hexefdd3a48

4024253000 has 64 divisors (see below), whose sum is σ = 9427017600. Its totient is φ = 1607947200.

The previous prime is 4024252993. The next prime is 4024253011. The reversal of 4024253000 is 3524204.

It is a super-2 number, since 2×40242530002 = 32389224416018000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305461 + ... + 1308539.

It is an arithmetic number, because the mean of its divisors is an integer number (147297150).

Almost surely, 24024253000 is an apocalyptic number.

4024253000 is a gapful number since it is divisible by the number (40) 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 4024253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713508800).

4024253000 is an abundant number, since it is smaller than the sum of its proper divisors (5402764600).

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

4024253000 is a wasteful number, since it uses less digits than its factorization.

4024253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4024253000 is about 63437.0002443369. Note that the first 3 decimals coincide. The cubic root of 4024253000 is about 1590.6028593509.

Adding to 4024253000 its reverse (3524204), we get a palindrome (4027777204).

The spelling of 4024253000 in words is "four billion, twenty-four million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1307 2614 3079 5228 6158 6535 10456 12316 13070 15395 24632 26140 30790 32675 52280 61580 65350 76975 123160 130700 153950 163375 261400 307900 326750 384875 615800 653500 769750 1307000 1539500 3079000 4024253 8048506 16097012 20121265 32194024 40242530 80485060 100606325 160970120 201212650 402425300 503031625 804850600 1006063250 2012126500 4024253000