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71270464 = 2641157173
BaseRepresentation
bin1000011111110…
…00000001000000
311222002220200211
410033320001000
5121221123324
611023323504
71523534416
oct417700100
9158086624
1071270464
1137259611
121ba50594
13119c4b95
1496732b6
1563cc294
hex43f8040

71270464 has 56 divisors (see below), whose sum is σ = 146642328. Its totient is φ = 34344960.

The previous prime is 71270447. The next prime is 71270467. The reversal of 71270464 is 46407217.

It can be written as a sum of positive squares in 4 ways, for example, as 4161600 + 67108864 = 2040^2 + 8192^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71270467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411882 + ... + 412054.

It is an arithmetic number, because the mean of its divisors is an integer number (2618613).

Almost surely, 271270464 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 71270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73321164).

71270464 is an abundant number, since it is smaller than the sum of its proper divisors (75371864).

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

71270464 is a wasteful number, since it uses less digits than its factorization.

71270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 71270464 is about 8442.1836037840. The cubic root of 71270464 is about 414.6069031343.

The spelling of 71270464 in words is "seventy-one million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 157 164 173 314 328 346 628 656 692 1256 1312 1384 2512 2624 2768 5024 5536 6437 7093 10048 11072 12874 14186 25748 27161 28372 51496 54322 56744 102992 108644 113488 205984 217288 226976 411968 434576 453952 869152 1113601 1738304 2227202 4454404 8908808 17817616 35635232 71270464