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45996093 = 3411213192
BaseRepresentation
bin1010111101110…
…1100000111101
310012112211210000
42233131200331
543233333333
64321504513
71065650253
oct257354075
9105484700
1045996093
1123a66600
12134a2139
1396b5b30
1461745d3
154088713
hex2bdd83d

45996093 has 90 divisors (see below), whose sum is σ = 85840062. Its totient is φ = 24377760.

The previous prime is 45996089. The next prime is 45996109. The reversal of 45996093 is 39069954.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31843449 + 14152644 = 5643^2 + 3762^2 .

It is not a de Polignac number, because 45996093 - 22 = 45996089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45996053) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2420838 + ... + 2420856.

Almost surely, 245996093 is an apocalyptic number.

It is an amenable number.

45996093 is a deficient number, since it is larger than the sum of its proper divisors (39843969).

45996093 is a wasteful number, since it uses less digits than its factorization.

45996093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45996093 is about 6782.0419491478. The cubic root of 45996093 is about 358.2946426346.

The spelling of 45996093 in words is "forty-five million, nine hundred ninety-six thousand, ninety-three".

Divisors: 1 3 9 11 13 19 27 33 39 57 81 99 117 121 143 171 209 247 297 351 361 363 429 513 627 741 891 1053 1083 1089 1287 1539 1573 1881 2223 2299 2717 3249 3267 3861 3971 4693 4719 5643 6669 6897 8151 9747 9801 11583 11913 14079 14157 16929 20007 20691 24453 29241 29887 35739 42237 42471 43681 51623 62073 73359 89661 107217 126711 127413 131043 154869 186219 220077 268983 321651 380133 393129 464607 567853 806949 1179387 1393821 1703559 2420847 3538161 4181463 5110677 15332031 45996093