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4082662804 = 22112979101401
BaseRepresentation
bin1111001101011000…
…0111110110010100
3101112112020202111111
43303112013312110
531330130202204
61513041344404
7203113030003
oct36326076624
911475222444
104082662804
111805613aa0
1295b338104
13500aa4b0c
142aa310c3a
1518d652d04
hexf3587d94

4082662804 has 96 divisors (see below), whose sum is σ = 8266406400. Its totient is φ = 1747200000.

The previous prime is 4082662783. The next prime is 4082662807.

4082662804 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082662807) 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, 10181004 + ... + 10181404.

It is an arithmetic number, because the mean of its divisors is an integer number (86108400).

Almost surely, 24082662804 is an apocalyptic number.

4082662804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4082662804 is an abundant number, since it is smaller than the sum of its proper divisors (4183743596).

4082662804 is a wasteful number, since it uses less digits than its factorization.

4082662804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4082662804 is about 63895.7181977009. The cubic root of 4082662804 is about 1598.2614976276.

The spelling of 4082662804 in words is "four billion, eighty-two million, six hundred sixty-two thousand, eight hundred four".

Divisors: 1 2 4 11 22 29 44 58 79 101 116 158 202 316 319 401 404 638 802 869 1111 1276 1604 1738 2222 2291 2929 3476 4411 4444 4582 5858 7979 8822 9164 11629 11716 15958 17644 23258 25201 31679 31916 32219 40501 46516 50402 63358 64438 81002 87769 100804 126716 127919 128876 162004 175538 231391 255838 348469 351076 445511 462782 511676 696938 891022 918691 925564 1174529 1393876 1782044 1837382 2349058 2545301 3199579 3674764 4698116 5090602 6399158 10105601 10181204 12798316 12919819 20211202 25839638 35195369 40422404 51679276 70390738 92787791 140781476 185575582 371151164 1020665701 2041331402 4082662804