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71357472 = 2532247769
BaseRepresentation
bin1000100000011…
…01010000100000
311222021100001100
410100031100200
5121231414342
611025234400
71524346164
oct420152040
9158240040
1071357472
1137308a1a
121ba92a00
1311a25674
149696ca4
1563e7e4c
hex440d420

71357472 has 36 divisors (see below), whose sum is σ = 202923630. Its totient is φ = 23785728.

The previous prime is 71357471. The next prime is 71357509. The reversal of 71357472 is 27475317.

71357472 is a `hidden beast` number, since 7 + 13 + 574 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51322896 + 20034576 = 7164^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (71357471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123597 + ... + 124172.

Almost surely, 271357472 is an apocalyptic number.

71357472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71357472 is an abundant number, since it is smaller than the sum of its proper divisors (131566158).

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

71357472 is a wasteful number, since it uses less digits than its factorization.

71357472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247785 (or 247774 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 71357472 is about 8447.3352011152. The cubic root of 71357472 is about 414.7755538648.

It can be divided in two parts, 713 and 57472, that added together give a palindrome (58185).

The spelling of 71357472 in words is "seventy-one million, three hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 247769 495538 743307 991076 1486614 1982152 2229921 2973228 3964304 4459842 5946456 7928608 8919684 11892912 17839368 23785824 35678736 71357472