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70188352 = 2613292909
BaseRepresentation
bin1000010111011…
…11110101000000
311220001221022121
410023233311000
5120432011402
610544214024
71511406523
oct413576500
9156057277
1070188352
113668a603
121b60a314
1311706490
149470bba
156266837
hex42efd40

70188352 has 56 divisors (see below), whose sum is σ = 155219400. Its totient is φ = 31266816.

The previous prime is 70188331. The next prime is 70188353. The reversal of 70188352 is 25388107.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 58736896 = 3384^2 + 7664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70188353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22674 + ... + 25582.

It is an arithmetic number, because the mean of its divisors is an integer number (2771775).

Almost surely, 270188352 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 70188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77609700).

70188352 is an abundant number, since it is smaller than the sum of its proper divisors (85031048).

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

70188352 is a wasteful number, since it uses less digits than its factorization.

70188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 70188352 is about 8377.8488885871. The cubic root of 70188352 is about 412.4978429027.

It can be divided in two parts, 7018 and 8352, that multiplied together give a square (58614336 = 76562).

The spelling of 70188352 in words is "seventy million, one hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 2909 3016 5818 6032 11636 12064 23272 24128 37817 46544 75634 84361 93088 151268 168722 186176 302536 337444 605072 674888 1096693 1210144 1349776 2193386 2420288 2699552 4386772 5399104 8773544 17547088 35094176 70188352