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45416973 = 3731923101
BaseRepresentation
bin1010110101000…
…0001000001101
310011110102101010
42231100020031
543111320343
64301235433
71061016000
oct255201015
9104412333
1045416973
1123700498
1213262b79
139542364
146063537
153ec1d33
hex2b5020d

45416973 has 64 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 23284800.

The previous prime is 45416963. The next prime is 45416981. The reversal of 45416973 is 37961454.

It is not a de Polignac number, because 45416973 - 24 = 45416957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45416963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449623 + ... + 449723.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 245416973 is an apocalyptic number.

It is an amenable number.

45416973 is a deficient number, since it is larger than the sum of its proper divisors (32919027).

45416973 is a wasteful number, since it uses less digits than its factorization.

45416973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 45416973 is about 6739.2116007735. The cubic root of 45416973 is about 356.7845682168.

The spelling of 45416973 in words is "forty-five million, four hundred sixteen thousand, nine hundred seventy-three".

Divisors: 1 3 7 19 21 23 49 57 69 101 133 147 161 303 343 399 437 483 707 931 1029 1127 1311 1919 2121 2323 2793 3059 3381 4949 5757 6517 6969 7889 9177 13433 14847 16261 19551 21413 23667 34643 40299 44137 48783 64239 94031 103929 113827 132411 149891 282093 308959 341481 449673 658217 796789 926877 1974651 2162713 2390367 6488139 15138991 45416973