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4019971400 = 235220099857
BaseRepresentation
bin1110111110011011…
…1110010101001000
3101101011021201001122
43233212332111020
531213103041100
61502521534412
7201422123144
oct35746762510
911334251048
104019971400
111783195015
12942344408
134c0ac4b03
142a1c72224
15187dbc985
hexef9be548

4019971400 has 24 divisors (see below), whose sum is σ = 9346433970. Its totient is φ = 1607988480.

The previous prime is 4019971399. The next prime is 4019971451. The reversal of 4019971400 is 41799104.

It can be written as a sum of positive squares in 3 ways, for example, as 3883034596 + 136936804 = 62314^2 + 11702^2 .

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 5 ways as a sum of consecutive naturals, for example, 10049729 + ... + 10050128.

Almost surely, 24019971400 is an apocalyptic number.

4019971400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4019971400 is an abundant number, since it is smaller than the sum of its proper divisors (5326462570).

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

4019971400 is a wasteful number, since it uses less digits than its factorization.

4019971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099873 (or 20099864 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 4019971400 is about 63403.2443964818. The cubic root of 4019971400 is about 1590.0385523925.

The spelling of 4019971400 in words is "four billion, nineteen million, nine hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20099857 40199714 80399428 100499285 160798856 200998570 401997140 502496425 803994280 1004992850 2009985700 4019971400