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4019689440 = 2532513172743
BaseRepresentation
bin1110111110010111…
…1001011111100000
3101101010202101021200
43233211321133200
531213020030230
61502511521200
7201416540124
oct35745713740
911333671250
104019689440
111783012198
12942229200
134c0a26680
142a1bdb584
15187d64160
hexef9797e0

4019689440 has 432 divisors, whose sum is σ = 15713556768. Its totient is φ = 930004992.

The previous prime is 4019689439. The next prime is 4019689451. The reversal of 4019689440 is 449869104.

4019689440 is a `hidden beast` number, since 40 + 1 + 96 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5409709 + ... + 5410451.

It is an arithmetic number, because the mean of its divisors is an integer number (36373974).

Almost surely, 24019689440 is an apocalyptic number.

4019689440 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 4019689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856778384).

4019689440 is an abundant number, since it is smaller than the sum of its proper divisors (11693867328).

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

4019689440 is a wasteful number, since it uses less digits than its factorization.

4019689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4019689440 is about 63401.0208119712. The cubic root of 4019689440 is about 1590.0013765266.

The spelling of 4019689440 in words is "four billion, nineteen million, six hundred eighty-nine thousand, four hundred forty".