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47207970 = 23251921453
BaseRepresentation
bin1011010000010…
…1011000100010
310021211102011100
42310011120202
544041123340
64403455230
71112155365
oct264053042
9107742140
1047207970
1124714057
1213987516
139a1b614
1463ac0dc
154227830
hex2d05622

47207970 has 72 divisors (see below), whose sum is σ = 129629916. Its totient is φ = 11918016.

The previous prime is 47207939. The next prime is 47207981. The reversal of 47207970 is 7970274.

It can be written as a sum of positive squares in 2 ways, for example, as 44475561 + 2732409 = 6669^2 + 1653^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31764 + ... + 33216.

Almost surely, 247207970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47207970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64814958).

47207970 is an abundant number, since it is smaller than the sum of its proper divisors (82421946).

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

47207970 is a wasteful number, since it uses less digits than its factorization.

47207970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 47207970 is about 6870.8056296187. The cubic root of 47207970 is about 361.4141138803.

Subtracting from 47207970 its reverse (7970274), we obtain a square (39237696 = 62642).

The spelling of 47207970 in words is "forty-seven million, two hundred seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1453 1710 1805 2166 2906 3249 3610 4359 5415 6498 7265 8718 10830 13077 14530 16245 21795 26154 27607 32490 43590 55214 65385 82821 130770 138035 165642 248463 276070 414105 496926 524533 828210 1049066 1242315 1573599 2484630 2622665 3147198 4720797 5245330 7867995 9441594 15735990 23603985 47207970