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3992475760 = 245713548417
BaseRepresentation
bin1110110111111000…
…0101100001110000
3101022020112210010121
43231332011201300
531134033211020
61500100340024
7200636325010
oct35576054160
911266483117
103992475760
111769715149
129350a4614
134b81b89c0
1429c355c40
1518578abaa
hexedf85870

3992475760 has 80 divisors (see below), whose sum is σ = 11424643776. Its totient is φ = 1263550464.

The previous prime is 3992475703. The next prime is 3992475761. The reversal of 3992475760 is 675742993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3992475698 and 3992475707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992475761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266929 + ... + 281488.

Almost surely, 23992475760 is an apocalyptic number.

It is an amenable number.

3992475760 is an abundant number, since it is smaller than the sum of its proper divisors (7432168016).

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

3992475760 is a wasteful number, since it uses less digits than its factorization.

3992475760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548450 (or 548444 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The square root of 3992475760 is about 63186.0408634692. The cubic root of 3992475760 is about 1586.4050950144.

The spelling of 3992475760 in words is "three billion, nine hundred ninety-two million, four hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 548417 1096834 2193668 2742085 3838919 4387336 5484170 7129421 7677838 8774672 10968340 14258842 15355676 19194595 21936680 28517684 30711352 35647105 38389190 43873360 49905947 57035368 61422704 71294210 76778380 99811894 114070736 142588420 153556760 199623788 249529735 285176840 307113520 399247576 499059470 570353680 798495152 998118940 1996237880 3992475760