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47074105 = 51321729113
BaseRepresentation
bin1011001110010…
…0101100111001
310021120121112101
42303210230321
544022332410
64400543401
71111060201
oct263445471
9107517471
1047074105
1124632521
1213921b61
1399a2700
146375401
1541ecd3a
hex2ce4b39

47074105 has 48 divisors (see below), whose sum is σ = 67592880. Its totient is φ = 31309824.

The previous prime is 47074091. The next prime is 47074129. The reversal of 47074105 is 50147074.

47074105 = 48512 + 48522.

It can be written as a sum of positive squares in 24 ways, for example, as 45914176 + 1159929 = 6776^2 + 1077^2 .

It is not a de Polignac number, because 47074105 - 213 = 47065913 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416529 + ... + 416641.

It is an arithmetic number, because the mean of its divisors is an integer number (1408185).

Almost surely, 247074105 is an apocalyptic number.

47074105 is the 4852-nd centered square number.

It is an amenable number.

47074105 is a deficient number, since it is larger than the sum of its proper divisors (20518775).

47074105 is a wasteful number, since it uses less digits than its factorization.

47074105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 47074105 is about 6861.0571342906. The cubic root of 47074105 is about 361.0721765430.

The spelling of 47074105 in words is "forty-seven million, seventy-four thousand, one hundred five".

Divisors: 1 5 13 17 29 65 85 113 145 169 221 377 493 565 845 1105 1469 1885 1921 2465 2873 3277 4901 6409 7345 9605 14365 16385 19097 24505 24973 32045 42601 55709 83317 95485 124865 213005 278545 324649 416585 553813 724217 1623245 2769065 3621085 9414821 47074105