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37490985 = 335797409
BaseRepresentation
bin1000111100000…
…1000100101001
32121112201222000
42033001010221
534044202420
63415321213
7633445110
oct217010451
977481860
1037490985
111a187594
1210680209
1379c881c
144d9cc77
153458690
hex23c1129

37490985 has 64 divisors (see below), whose sum is σ = 77145600. Its totient is φ = 16920576.

The previous prime is 37490977. The next prime is 37490987. The reversal of 37490985 is 58909473.

It is not a de Polignac number, because 37490985 - 23 = 37490977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 37490985.

It is not an unprimeable number, because it can be changed into a prime (37490987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91461 + ... + 91869.

It is an arithmetic number, because the mean of its divisors is an integer number (1205400).

Almost surely, 237490985 is an apocalyptic number.

37490985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37490985 is an abundant number, since it is smaller than the sum of its proper divisors (39654615).

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

37490985 is a wasteful number, since it uses less digits than its factorization.

37490985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 37490985 is about 6122.9882410470. The cubic root of 37490985 is about 334.6896509446.

The spelling of 37490985 in words is "thirty-seven million, four hundred ninety thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 97 105 135 189 291 315 409 485 679 873 945 1227 1455 2037 2045 2619 2863 3395 3681 4365 6111 6135 8589 10185 11043 13095 14315 18333 18405 25767 30555 39673 42945 55215 77301 91665 119019 128835 198365 277711 357057 386505 595095 833133 1071171 1388555 1785285 2499399 4165665 5355855 7498197 12496995 37490985