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4064260040 = 2351717413433
BaseRepresentation
bin1111001000111111…
…1010111111001000
3101111020121210122122
43302033322333020
531310422310130
61511143110412
7202500432431
oct36217727710
911436553578
104064260040
1117a61947a5
12955142408
134ca0306c9
142a7ac0488
1518bc1a2e5
hexf23fafc8

4064260040 has 64 divisors (see below), whose sum is σ = 9690885360. Its totient is φ = 1528750080.

The previous prime is 4064260033. The next prime is 4064260049. The reversal of 4064260040 is 400624604.

It can be written as a sum of positive squares in 8 ways, for example, as 616926244 + 3447333796 = 24838^2 + 58714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4064259991 and 4064260009.

It is not an unprimeable number, because it can be changed into a prime (4064260049) 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, 1182164 + ... + 1185596.

Almost surely, 24064260040 is an apocalyptic number.

4064260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064260040 is an abundant number, since it is smaller than the sum of its proper divisors (5626625320).

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

4064260040 is a wasteful number, since it uses less digits than its factorization.

4064260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4064260040 is about 63751.5493145069. The cubic root of 4064260040 is about 1595.8564714533.

Adding to 4064260040 its reverse (400624604), we get a palindrome (4464884644).

The spelling of 4064260040 in words is "four billion, sixty-four million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1741 3433 3482 6866 6964 8705 13732 13928 17165 17410 27464 29597 34330 34820 58361 59194 68660 69640 116722 118388 137320 147985 233444 236776 291805 295970 466888 583610 591940 1167220 1183880 2334440 5976853 11953706 23907412 29884265 47814824 59768530 101606501 119537060 203213002 239074120 406426004 508032505 812852008 1016065010 2032130020 4064260040