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53380845 = 3257243563
BaseRepresentation
bin1100101110100…
…0011011101101
310201110000202100
43023220123231
5102131141340
65144045313
71215505200
oct313503355
9121400670
1053380845
112814a901
1215a63839
13b0a01cb
147137937
154a46830
hex32e86ed

53380845 has 72 divisors (see below), whose sum is σ = 110331936. Its totient is φ = 23792832.

The previous prime is 53380841. The next prime is 53380849. The reversal of 53380845 is 54808335.

53380845 is a `hidden beast` number, since 533 + 80 + 8 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (53380841) and next prime (53380849).

It is not a de Polignac number, because 53380845 - 22 = 53380841 is a prime.

It is a super-2 number, since 2×533808452 = 5699029225828050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53380841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94534 + ... + 95096.

It is an arithmetic number, because the mean of its divisors is an integer number (1532388).

Almost surely, 253380845 is an apocalyptic number.

It is an amenable number.

53380845 is an abundant number, since it is smaller than the sum of its proper divisors (56951091).

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

53380845 is a wasteful number, since it uses less digits than its factorization.

53380845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53380845 is about 7306.2196107152. The cubic root of 53380845 is about 376.5261538526.

The spelling of 53380845 in words is "fifty-three million, three hundred eighty thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 105 129 147 215 245 301 315 387 441 563 645 735 903 1505 1689 1935 2107 2205 2709 2815 3941 4515 5067 6321 8445 10535 11823 13545 18963 19705 24209 25335 27587 31605 35469 59115 72627 82761 94815 121045 137935 169463 177345 217881 248283 363135 413805 508389 847315 1089405 1186241 1241415 1525167 2541945 3558723 5931205 7625835 10676169 17793615 53380845