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54309645 = 325131743127
BaseRepresentation
bin1100111100101…
…1001100001101
310210012012211100
43033023030031
5102400402040
65220013313
71226424105
oct317131415
9123165740
1054309645
1128724705
1216231239
13b336bb0
1472da205
154b7bb30
hex33cb30d

54309645 has 96 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 24385536.

The previous prime is 54309641. The next prime is 54309653. The reversal of 54309645 is 54690345.

It is a happy number.

54309645 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 9 + 645 = 666.

It is not a de Polignac number, because 54309645 - 22 = 54309641 is a prime.

It is a super-3 number, since 3×543096453 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54309641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427572 + ... + 427698.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 254309645 is an apocalyptic number.

It is an amenable number.

54309645 is an abundant number, since it is smaller than the sum of its proper divisors (56392947).

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

54309645 is a wasteful number, since it uses less digits than its factorization.

54309645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54309645 is about 7369.5077854630. The cubic root of 54309645 is about 378.6973981780.

The spelling of 54309645 in words is "fifty-four million, three hundred nine thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 43 45 51 65 85 117 127 129 153 195 215 221 255 381 387 559 585 635 645 663 731 765 1105 1143 1651 1677 1905 1935 1989 2159 2193 2795 3315 3655 4953 5031 5461 5715 6477 6579 8255 8385 9503 9945 10795 10965 14859 16383 19431 24765 25155 27305 28067 28509 32385 32895 47515 49149 70993 74295 81915 84201 85527 92837 97155 140335 142545 212979 245745 252603 278511 354965 421005 427635 464185 638937 835533 1064895 1206881 1263015 1392555 3194685 3620643 4177665 6034405 10861929 18103215 54309645