Search a number
-
+
71488656 = 2439227
BaseRepresentation
bin1000100001011…
…01010010010000
311222112000000000
410100231102100
5121300114111
611032130000
71525433511
oct420552220
9158460000
1071488656
1137398538
121bb36900
1311a702a5
1496cca08
156421c56
hex442d490

71488656 has 100 divisors (see below), whose sum is σ = 208675632. Its totient is φ = 23724576.

The previous prime is 71488639. The next prime is 71488663. The reversal of 71488656 is 65688417.

It is a happy number.

It is a super-2 number, since 2×714886562 = 10221255873372672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314815 + ... + 315041.

Almost surely, 271488656 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 71488656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104337816).

71488656 is an abundant number, since it is smaller than the sum of its proper divisors (137186976).

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

71488656 is an frugal number, since it uses more digits than its factorization.

71488656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 71488656 is about 8455.0964512535. The cubic root of 71488656 is about 415.0295735445.

Subtracting from 71488656 its product of digits (322560), we obtain a square (71166096 = 84362).

The spelling of 71488656 in words is "seventy-one million, four hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 227 243 324 432 454 486 648 681 729 908 972 1296 1362 1458 1816 1944 2043 2187 2724 2916 3632 3888 4086 4374 5448 5832 6129 6561 8172 8748 10896 11664 12258 13122 16344 17496 18387 19683 24516 26244 32688 34992 36774 39366 49032 52488 55161 73548 78732 98064 104976 110322 147096 157464 165483 220644 294192 314928 330966 441288 496449 661932 882576 992898 1323864 1489347 1985796 2647728 2978694 3971592 4468041 5957388 7943184 8936082 11914776 17872164 23829552 35744328 71488656