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71393952 = 2537131811
BaseRepresentation
bin1000100000101…
…10001010100000
311222100012002110
410100112022200
5121234101302
611030115320
71524560430
oct420261240
9158305073
1071393952
1137333373
121baabb40
1311a39156
1496a62c0
156403b6c
hex44162a0

71393952 has 96 divisors (see below), whose sum is σ = 216082944. Its totient is φ = 20217600.

The previous prime is 71393947. The next prime is 71393983. The reversal of 71393952 is 25939317.

71393952 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 71393952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87627 + ... + 88437.

It is an arithmetic number, because the mean of its divisors is an integer number (2250864).

Almost surely, 271393952 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 71393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108041472).

71393952 is an abundant number, since it is smaller than the sum of its proper divisors (144688992).

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

71393952 is a wasteful number, since it uses less digits than its factorization.

71393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 71393952 is about 8449.4941860445. The cubic root of 71393952 is about 414.8462235697.

The spelling of 71393952 in words is "seventy-one million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 811 917 1048 1572 1622 1834 2096 2433 2751 3144 3244 3668 4192 4866 5502 5677 6288 6488 7336 9732 11004 11354 12576 12976 14672 17031 19464 22008 22708 25952 29344 34062 38928 44016 45416 68124 77856 88032 90832 106241 136248 181664 212482 272496 318723 424964 544992 637446 743687 849928 1274892 1487374 1699856 2231061 2549784 2974748 3399712 4462122 5099568 5949496 8924244 10199136 11898992 17848488 23797984 35696976 71393952