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47625341 = 232197457
BaseRepresentation
bin1011010110101…
…1010001111101
310022121121200112
42311223101331
544143002331
64420435405
71115544251
oct265532175
9108547615
1047625341
1124979695
1213b48b65
139b3659a
14647a261
1542ab32b
hex2d6b47d

47625341 has 12 divisors (see below), whose sum is σ = 50148252. Its totient is φ = 45224256.

The previous prime is 47625329. The next prime is 47625353. The reversal of 47625341 is 14352674.

It is an interprime number because it is at equal distance from previous prime (47625329) and next prime (47625353).

It can be written as a sum of positive squares in 2 ways, for example, as 44488900 + 3136441 = 6670^2 + 1771^2 .

It is a de Polignac number, because none of the positive numbers 2k-47625341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47625298 and 47625307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47625301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103985 + ... + 104441.

It is an arithmetic number, because the mean of its divisors is an integer number (4179021).

Almost surely, 247625341 is an apocalyptic number.

It is an amenable number.

47625341 is a deficient number, since it is larger than the sum of its proper divisors (2522911).

47625341 is a wasteful number, since it uses less digits than its factorization.

47625341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 47625341 is about 6901.1115771302. Note that the first 3 decimals coincide. The cubic root of 47625341 is about 362.4760913284.

The spelling of 47625341 in words is "forty-seven million, six hundred twenty-five thousand, three hundred forty-one".

Divisors: 1 23 197 457 529 4531 10511 90029 104213 241753 2070667 47625341