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4052393268 = 22371140910723
BaseRepresentation
bin1111000110001010…
…1001110100110100
3101110102021220111120
43301202221310310
531244403041033
61510040503540
7202264526430
oct36142516464
911412256446
104052393268
11179a51a050
1295117abb0
134c7737251
142a62b19c0
1518ab741b3
hexf18a9d34

4052393268 has 96 divisors (see below), whose sum is σ = 11818705920. Its totient is φ = 1049898240.

The previous prime is 4052393263. The next prime is 4052393269. The reversal of 4052393268 is 8623932504.

4052393268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052393263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372555 + ... + 383277.

It is an arithmetic number, because the mean of its divisors is an integer number (123111520).

Almost surely, 24052393268 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 4052393268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909352960).

4052393268 is an abundant number, since it is smaller than the sum of its proper divisors (7766312652).

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

4052393268 is a wasteful number, since it uses less digits than its factorization.

4052393268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11157 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 4052393268 is about 63658.4108189955. The cubic root of 4052393268 is about 1594.3017705586.

The spelling of 4052393268 in words is "four billion, fifty-two million, three hundred ninety-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 409 462 818 924 1227 1636 2454 2863 4499 4908 5726 8589 8998 10723 11452 13497 17178 17996 21446 26994 31493 32169 34356 42892 53988 62986 64338 75061 94479 117953 125972 128676 150122 188958 225183 235906 300244 353859 377916 450366 471812 707718 825671 900732 1415436 1651342 2477013 3302684 4385707 4954026 8771414 9908052 13157121 17542828 26314242 30699949 48242777 52628484 61399898 92099847 96485554 122799796 144728331 184199694 192971108 289456662 337699439 368399388 578913324 675398878 1013098317 1350797756 2026196634 4052393268