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4146375640 = 235119423581
BaseRepresentation
bin1111011100100100…
…1010101111011000
3101200222010201002011
43313021022233120
531442433010030
61523235115304
7204515416501
oct36711125730
911628121064
104146375640
111838580430
12978742b34
13511051a14
142b4977ba8
1519403ab2a
hexf724abd8

4146375640 has 32 divisors (see below), whose sum is σ = 10177468560. Its totient is φ = 1507772800.

The previous prime is 4146375619. The next prime is 4146375641. The reversal of 4146375640 is 465736414.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4146375593 and 4146375602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146375641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4711351 + ... + 4712230.

Almost surely, 24146375640 is an apocalyptic number.

4146375640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4146375640 is an abundant number, since it is smaller than the sum of its proper divisors (6031092920).

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

4146375640 is a wasteful number, since it uses less digits than its factorization.

4146375640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423603 (or 9423599 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 4146375640 is about 64392.3569998800. The cubic root of 4146375640 is about 1606.5326198740.

The spelling of 4146375640 in words is "four billion, one hundred forty-six million, three hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9423581 18847162 37694324 47117905 75388648 94235810 103659391 188471620 207318782 376943240 414637564 518296955 829275128 1036593910 2073187820 4146375640