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70805952 = 26327171033
BaseRepresentation
bin1000011100001…
…10100111000000
311221020022111200
410032012213000
5121111242302
611005341200
71516561230
oct416064700
9157208450
1070805952
1136a71618
121b867800
1311891619
149591cc0
15633981c
hex43869c0

70805952 has 168 divisors, whose sum is σ = 245827296. Its totient is φ = 19021824.

The previous prime is 70805947. The next prime is 70805971. The reversal of 70805952 is 25950807.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68028 + ... + 69060.

Almost surely, 270805952 is an apocalyptic number.

70805952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122913648).

70805952 is an abundant number, since it is smaller than the sum of its proper divisors (175021344).

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

70805952 is a wasteful number, since it uses less digits than its factorization.

70805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 70805952 is about 8414.6272644723. The cubic root of 70805952 is about 413.7041925294.

The spelling of 70805952 in words is "seventy million, eight hundred five thousand, nine hundred fifty-two".