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39426640 = 2451124073
BaseRepresentation
bin1001011001100…
…1101001010000
32202012002011221
42112121221100
540043123030
63525014424
7656056321
oct226315120
982162157
1039426640
1120289900
1211254414
138225896
145344448
1536dbe7a
hex2599a50

39426640 has 60 divisors (see below), whose sum is σ = 100782612. Its totient is φ = 14333440.

The previous prime is 39426617. The next prime is 39426659. The reversal of 39426640 is 4662493.

It can be written as a sum of positive squares in 2 ways, for example, as 8690704 + 30735936 = 2948^2 + 5544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39426596 and 39426605.

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 11 ways as a sum of consecutive naturals, for example, 7644 + ... + 11716.

Almost surely, 239426640 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 39426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50391306).

39426640 is an abundant number, since it is smaller than the sum of its proper divisors (61355972).

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

39426640 is a wasteful number, since it uses less digits than its factorization.

39426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 39426640 is about 6279.0636244587. The cubic root of 39426640 is about 340.3532660412.

The spelling of 39426640 in words is "thirty-nine million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4073 4840 8146 9680 16292 20365 32584 40730 44803 65168 81460 89606 162920 179212 224015 325840 358424 448030 492833 716848 896060 985666 1792120 1971332 2464165 3584240 3942664 4928330 7885328 9856660 19713320 39426640