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42837025 = 5272112172
BaseRepresentation
bin1010001101101…
…0010000100001
32222121100100111
42203122100201
541431241100
64130051321
71030052200
oct243322041
988540314
1042837025
11221a9100
1212419b41
138b4ac6a
145991237
153b626ba
hex28da421

42837025 has 81 divisors (see below), whose sum is σ = 72148377. Its totient is φ = 25132800.

The previous prime is 42837013. The next prime is 42837061. The reversal of 42837025 is 52073824.

The square root of 42837025 is 6545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1002001 + 41835024 = 1001^2 + 6468^2 .

It is not a de Polignac number, because 42837025 - 27 = 42836897 is a prime.

It is a super-4 number, since 4×428370254 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2519817 + ... + 2519833.

Almost surely, 242837025 is an apocalyptic number.

42837025 is the 6545-th square number.

42837025 is the 3273-rd centered octagonal number.

It is an amenable number.

42837025 is a deficient number, since it is larger than the sum of its proper divisors (29311352).

42837025 is a wasteful number, since it uses less digits than its factorization.

42837025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The cubic root of 42837025 is about 349.8966361437.

The spelling of 42837025 in words is "forty-two million, eight hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 7 11 17 25 35 49 55 77 85 119 121 175 187 245 275 289 385 425 539 595 605 833 847 935 1225 1309 1445 1925 2023 2057 2695 2975 3025 3179 4165 4235 4675 5929 6545 7225 9163 10115 10285 13475 14161 14399 15895 20825 21175 22253 29645 32725 34969 45815 50575 51425 70805 71995 79475 100793 111265 148225 155771 174845 229075 244783 354025 359975 503965 556325 778855 874225 1223915 1713481 2519825 3894275 6119575 8567405 42837025