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4002423400 = 235229690073
BaseRepresentation
bin1110111010010000…
…0010001001101000
3101022221021011201201
43232210002021220
531144110022100
61501053453544
7201120015613
oct35644021150
911287234651
104002423400
111774299a38
129384a12b4
134ba28c791
1429d7c517a
151865a336a
hexee902268

4002423400 has 48 divisors (see below), whose sum is σ = 9626532300. Its totient is φ = 1545761280.

The previous prime is 4002423391. The next prime is 4002423413. The reversal of 4002423400 is 43242004.

It can be written as a sum of positive squares in 6 ways, for example, as 2714618404 + 1287804996 = 52102^2 + 35886^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339237 + ... + 350836.

Almost surely, 24002423400 is an apocalyptic number.

4002423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002423400 is an abundant number, since it is smaller than the sum of its proper divisors (5624108900).

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

4002423400 is a wasteful number, since it uses less digits than its factorization.

4002423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690118 (or 690109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4002423400 is about 63264.7089616320. The cubic root of 4002423400 is about 1587.7215628922.

Adding to 4002423400 its reverse (43242004), we get a palindrome (4045665404).

The spelling of 4002423400 in words is "four billion, two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 690073 1380146 2760292 3450365 5520584 6900730 13801460 17251825 20012117 27602920 34503650 40024234 69007300 80048468 100060585 138014600 160096936 200121170 400242340 500302925 800484680 1000605850 2001211700 4002423400