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4082920704 = 28321772101
BaseRepresentation
bin1111001101011100…
…0110110100000000
3101112112201212021100
43303113012310000
531330211430304
61513051054400
7203115152622
oct36327066400
911475655240
104082920704
11180577a835
1295b441400
13500b65315
142aa37ac12
1518d6a4439
hexf35c6d00

4082920704 has 54 divisors (see below), whose sum is σ = 11772073586. Its totient is φ = 1360972800.

The previous prime is 4082920703. The next prime is 4082920741. The reversal of 4082920704 is 4070292804.

It can be written as a sum of positive squares in only one way, i.e., 3716121600 + 366799104 = 60960^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082920703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 883747 + ... + 888354.

Almost surely, 24082920704 is an apocalyptic number.

It is an amenable number.

4082920704 is an abundant number, since it is smaller than the sum of its proper divisors (7689152882).

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

4082920704 is a wasteful number, since it uses less digits than its factorization.

4082920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772123 (or 1772106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4082920704 is about 63897.7362979316. The cubic root of 4082920704 is about 1598.2951507425.

The spelling of 4082920704 in words is "four billion, eighty-two million, nine hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1772101 3544202 5316303 7088404 10632606 14176808 15948909 21265212 28353616 31897818 42530424 56707232 63795636 85060848 113414464 127591272 170121696 226828928 255182544 340243392 453657856 510365088 680486784 1020730176 1360973568 2041460352 4082920704