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45256005 = 32519411291
BaseRepresentation
bin1010110010100…
…0110101000101
310011011020120100
42230220311011
543041143010
64253554313
71056445464
oct254506505
9104136510
1045256005
1123600563
12131a5999
1394b7002
1460209db
153e8e2c0
hex2b28d45

45256005 has 48 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 22291200.

The previous prime is 45255953. The next prime is 45256007. The reversal of 45256005 is 50065254.

45256005 is a `hidden beast` number, since 4 + 52 + 5 + 600 + 5 = 666.

It is not a de Polignac number, because 45256005 - 29 = 45255493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45256005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34410 + ... + 35700.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 245256005 is an apocalyptic number.

45256005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45256005 is a deficient number, since it is larger than the sum of its proper divisors (39395835).

45256005 is a wasteful number, since it uses less digits than its factorization.

45256005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45256005 is about 6727.2583568643. The cubic root of 45256005 is about 356.3625609227.

Subtracting 45256005 from its reverse (50065254), we obtain a square (4809249 = 21932).

The spelling of 45256005 in words is "forty-five million, two hundred fifty-six thousand, five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 369 615 779 855 1291 1845 2337 3873 3895 6455 7011 11619 11685 19365 24529 35055 52931 58095 73587 122645 158793 220761 264655 367935 476379 793965 1005689 1103805 2381895 3017067 5028445 9051201 15085335 45256005