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84625640 = 23511414691
BaseRepresentation
bin1010000101101…
…00100011101000
312220020102112222
411002310203220
5133131010030
612221453212
72045206661
oct502644350
9186212488
1084625640
1143850550
1224411208
13146bc958
14b34c368
1576693e5
hex50b48e8

84625640 has 64 divisors (see below), whose sum is σ = 212829120. Its totient is φ = 30016000.

The previous prime is 84625637. The next prime is 84625649. The reversal of 84625640 is 4652648.

It is a super-2 number, since 2×846256402 = 14322997890819200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84625640.

It is not an unprimeable number, because it can be changed into a prime (84625649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15695 + ... + 20385.

It is an arithmetic number, because the mean of its divisors is an integer number (3325455).

Almost surely, 284625640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106414560).

84625640 is an abundant number, since it is smaller than the sum of its proper divisors (128203480).

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

84625640 is a wasteful number, since it uses less digits than its factorization.

84625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 84625640 is about 9199.2195321125. The cubic root of 84625640 is about 439.0365281809.

The spelling of 84625640 in words is "eighty-four million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 4691 9020 9382 18040 18764 23455 37528 46910 51601 93820 103202 187640 192331 206404 258005 384662 412808 516010 769324 961655 1032020 1538648 1923310 2064040 2115641 3846620 4231282 7693240 8462564 10578205 16925128 21156410 42312820 84625640