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71881152 = 263779677
BaseRepresentation
bin1000100100011…
…01000111000000
312000020221101220
410102031013000
5121400144102
611044355040
71531660020
oct422150700
9160227356
1071881152
1137636412
12200a5a80
1311b79b35
149791a80
15649d1bc
hex448d1c0

71881152 has 112 divisors (see below), whose sum is σ = 220431360. Its totient is φ = 20247552.

The previous prime is 71881133. The next prime is 71881177. The reversal of 71881152 is 25118817.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 105838 + ... + 106514.

Almost surely, 271881152 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 71881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110215680).

71881152 is an abundant number, since it is smaller than the sum of its proper divisors (148550208).

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

71881152 is a wasteful number, since it uses less digits than its factorization.

71881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its digits is 4480, while the sum is 33.

The square root of 71881152 is about 8478.2752963088. The cubic root of 71881152 is about 415.7877368793.

Adding to 71881152 its reverse (25118817), we get a palindrome (96999969).

The spelling of 71881152 in words is "seventy-one million, eight hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 677 948 1106 1264 1344 1354 1659 1896 2031 2212 2528 2708 3318 3792 4062 4424 4739 5056 5416 6636 7584 8124 8848 9478 10832 13272 14217 15168 16248 17696 18956 21664 26544 28434 32496 35392 37912 43328 53088 53483 56868 64992 75824 106176 106966 113736 129984 151648 160449 213932 227472 303296 320898 374381 427864 454944 641796 748762 855728 909888 1123143 1283592 1497524 1711456 2246286 2567184 2995048 3422912 4492572 5134368 5990096 8985144 10268736 11980192 17970288 23960384 35940576 71881152