Search a number
-
+
71425296 = 243217163179
BaseRepresentation
bin1000100000111…
…01110100010000
311222101210002100
410100131310100
5121241102141
611030520400
71525051005
oct420356420
9158353070
1071425296
1137354978
121bb06100
1311a4a4b7
1496b38ac
15640d0b6
hex441dd10

71425296 has 120 divisors (see below), whose sum is σ = 214138080. Its totient is φ = 22146048.

The previous prime is 71425273. The next prime is 71425301. The reversal of 71425296 is 69252417.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71425296.

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, 398935 + ... + 399113.

It is an arithmetic number, because the mean of its divisors is an integer number (1784484).

Almost surely, 271425296 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 71425296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107069040).

71425296 is an abundant number, since it is smaller than the sum of its proper divisors (142712784).

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

71425296 is a wasteful number, since it uses less digits than its factorization.

71425296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 71425296 is about 8451.3487680961. The cubic root of 71425296 is about 414.9069244986.

The spelling of 71425296 in words is "seventy-one million, four hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 163 179 204 272 306 326 358 408 489 537 612 652 716 816 978 1074 1224 1304 1432 1467 1611 1956 2148 2448 2608 2771 2864 2934 3043 3222 3912 4296 5542 5868 6086 6444 7824 8313 8592 9129 11084 11736 12172 12888 16626 18258 22168 23472 24344 24939 25776 27387 29177 33252 36516 44336 48688 49878 54774 58354 66504 73032 87531 99756 109548 116708 133008 146064 175062 199512 219096 233416 262593 350124 399024 438192 466832 496009 525186 700248 992018 1050372 1400496 1488027 1984036 2100744 2976054 3968072 4201488 4464081 5952108 7936144 8928162 11904216 17856324 23808432 35712648 71425296