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70925472 = 2532383643
BaseRepresentation
bin1000011101000…
…11110010100000
311221110101110100
410032203302200
5121124103342
611012102400
71520566542
oct416436240
9157411410
1070925472
11370433a2
121b904a00
1311903b47
1495c3692
15635ee4c
hex43a3ca0

70925472 has 72 divisors (see below), whose sum is σ = 202535424. Its totient is φ = 23543424.

The previous prime is 70925471. The next prime is 70925473. The reversal of 70925472 is 27452907.

It is an interprime number because it is at equal distance from previous prime (70925471) and next prime (70925473).

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70925471) 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 11 ways as a sum of consecutive naturals, for example, 109983 + ... + 110625.

It is an arithmetic number, because the mean of its divisors is an integer number (2812992).

Almost surely, 270925472 is an apocalyptic number.

70925472 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 70925472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267712).

70925472 is an abundant number, since it is smaller than the sum of its proper divisors (131609952).

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

70925472 is a wasteful number, since it uses less digits than its factorization.

70925472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 70925472 is about 8421.7261888523. The cubic root of 70925472 is about 413.9368383654.

The spelling of 70925472 in words is "seventy million, nine hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 643 766 1149 1286 1532 1929 2298 2572 3064 3447 3858 4596 5144 5787 6128 6894 7716 9192 10288 11574 12256 13788 15432 18384 20576 23148 27576 30864 36768 46296 55152 61728 92592 110304 185184 246269 492538 738807 985076 1477614 1970152 2216421 2955228 3940304 4432842 5910456 7880608 8865684 11820912 17731368 23641824 35462736 70925472