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47120073 = 37111321771
BaseRepresentation
bin1011001110111…
…1111011001001
310021122221120220
42303233323021
544030320243
64401540253
71111341210
oct263577311
9107587526
1047120073
1124664010
1213944689
1399ba600
146388077
15420b783
hex2cefec9

47120073 has 96 divisors (see below), whose sum is σ = 91072512. Its totient is φ = 20966400.

The previous prime is 47120069. The next prime is 47120119. The reversal of 47120073 is 37002174.

It is not a de Polignac number, because 47120073 - 22 = 47120069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47120053) 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 95 ways as a sum of consecutive naturals, for example, 663628 + ... + 663698.

It is an arithmetic number, because the mean of its divisors is an integer number (948672).

Almost surely, 247120073 is an apocalyptic number.

It is an amenable number.

47120073 is a deficient number, since it is larger than the sum of its proper divisors (43952439).

47120073 is a wasteful number, since it uses less digits than its factorization.

47120073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 47120073 is about 6864.4062379786. The cubic root of 47120073 is about 361.1896676502.

The spelling of 47120073 in words is "forty-seven million, one hundred twenty thousand, seventy-three".

Divisors: 1 3 7 11 13 17 21 33 39 51 71 77 91 119 143 169 187 213 221 231 273 357 429 497 507 561 663 781 923 1001 1183 1207 1309 1491 1547 1859 2343 2431 2769 2873 3003 3549 3621 3927 4641 5467 5577 6461 7293 8449 8619 10153 11999 13013 13277 15691 16401 17017 19383 20111 25347 30459 31603 35997 39039 39831 47073 51051 60333 71071 83993 92939 94809 109837 131989 172601 203983 213213 221221 251979 278817 329511 395967 517803 611949 663663 923923 1208207 1427881 2243813 2771769 3624621 4283643 6731439 15706691 47120073