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4292578416 = 243717373847
BaseRepresentation
bin1111111111011011…
…1000110001110000
3102002011020120120210
43333312320301300
532242400002131
61545540504120
7211242212610
oct37766706160
912064216523
104292578416
111903059775
129b96ab040
13535421439
142ca154a40
151a1cba146
hexffdb8c70

4292578416 has 80 divisors (see below), whose sum is σ = 12746755584. Its totient is φ = 1219345152.

The previous prime is 4292578403. The next prime is 4292578417. The reversal of 4292578416 is 6148752924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292578417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21205 + ... + 95051.

Almost surely, 24292578416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4292578416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373377792).

4292578416 is an abundant number, since it is smaller than the sum of its proper divisors (8454177168).

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

4292578416 is a wasteful number, since it uses less digits than its factorization.

4292578416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74038 (or 74032 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 4292578416 is about 65517.7717569821. The cubic root of 4292578416 is about 1625.1972514481.

The spelling of 4292578416 in words is "four billion, two hundred ninety-two million, five hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 7266 8304 9688 14532 19376 29064 58128 73847 147694 221541 295388 443082 516929 590776 886164 1033858 1181552 1550787 1772328 2067716 3101574 3544656 4135432 6203148 8270864 12406296 12775531 24812592 25551062 38326593 51102124 76653186 89428717 102204248 153306372 178857434 204408496 268286151 306612744 357714868 536572302 613225488 715429736 1073144604 1430859472 2146289208 4292578416