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42007485 = 3513273227
BaseRepresentation
bin1010000000111…
…1101110111101
32221001012102210
42200033232331
541223214420
64100211033
71020025542
oct240175675
987035383
1042007485
1121791933
1212099a79
13891a500
145816bc9
153a4b9e0
hex280fbbd

42007485 has 48 divisors (see below), whose sum is σ = 74101824. Its totient is φ = 20307456.

The previous prime is 42007477. The next prime is 42007487. The reversal of 42007485 is 58470024.

It is not a de Polignac number, because 42007485 - 23 = 42007477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007487) 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, 184942 + ... + 185168.

It is an arithmetic number, because the mean of its divisors is an integer number (1543788).

Almost surely, 242007485 is an apocalyptic number.

It is an amenable number.

42007485 is a deficient number, since it is larger than the sum of its proper divisors (32094339).

42007485 is a wasteful number, since it uses less digits than its factorization.

42007485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42007485 is about 6481.3181529686. The cubic root of 42007485 is about 347.6233125156.

The spelling of 42007485 in words is "forty-two million, seven thousand, four hundred eighty-five".

Divisors: 1 3 5 13 15 39 65 73 169 195 219 227 365 507 681 845 949 1095 1135 2535 2847 2951 3405 4745 8853 12337 14235 14755 16571 37011 38363 44265 49713 61685 82855 115089 185055 191815 215423 248565 575445 646269 1077115 2800499 3231345 8401497 14002495 42007485