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7490385 = 325724379
BaseRepresentation
bin11100100100101101010001
3112002112212200
4130210231101
53404143020
6424313413
7120444600
oct34445521
915075780
107490385
114256701
122612869
1317234a6
14dcda37
159ce590
hex724b51

7490385 has 72 divisors (see below), whose sum is σ = 15649920. Its totient is φ = 3302208.

The previous prime is 7490377. The next prime is 7490401. The reversal of 7490385 is 5830947.

7490385 is a nontrivial binomial coefficient, being equal to C(3871, 2).

It is not a de Polignac number, because 7490385 - 23 = 7490377 is a prime.

It is a super-2 number, since 2×74903852 = 112211734896450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94776 + ... + 94854.

It is an arithmetic number, because the mean of its divisors is an integer number (217360).

Almost surely, 27490385 is an apocalyptic number.

7490385 is the 3870-th triangular number.

It is an amenable number.

7490385 is an abundant number, since it is smaller than the sum of its proper divisors (8159535).

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

7490385 is a wasteful number, since it uses less digits than its factorization.

7490385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7490385 is about 2736.8567737461. The cubic root of 7490385 is about 195.6596986156.

It can be divided in two parts, 7490 and 385, that added together give a triangular number (7875 = T125).

The spelling of 7490385 in words is "seven million, four hundred ninety thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 79 105 129 147 215 237 245 301 315 387 395 441 553 645 711 735 903 1185 1505 1659 1935 2107 2205 2709 2765 3397 3555 3871 4515 4977 6321 8295 10191 10535 11613 13545 16985 18963 19355 23779 24885 30573 31605 34839 50955 58065 71337 94815 118895 152865 166453 174195 214011 356685 499359 832265 1070055 1498077 2496795 7490385