Search a number
-
+
71494656 = 210317372
BaseRepresentation
bin1000100001011…
…10110000000000
311222112022020020
410100232300000
5121300312111
611032213440
71525460142
oct420566000
9158468206
1071494656
11373a1aa2
121bb3a280
1311a72c3c
1496d0c92
156423906
hex442ec00

71494656 has 132 divisors (see below), whose sum is σ = 207369288. Its totient is φ = 21823488.

The previous prime is 71494651. The next prime is 71494697. The reversal of 71494656 is 65649417.

It is a super-2 number, since 2×714946562 = 10222971673116672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71494651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932270 + ... + 1932306.

Almost surely, 271494656 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 71494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103684644).

71494656 is an abundant number, since it is smaller than the sum of its proper divisors (135874632).

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

71494656 is a wasteful number, since it uses less digits than its factorization.

71494656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 71494656 is about 8455.4512593947. The cubic root of 71494656 is about 415.0411842807.

The spelling of 71494656 in words is "seventy-one million, four hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 256 272 296 384 408 444 512 544 592 629 768 816 888 1024 1088 1184 1258 1369 1536 1632 1776 1887 2176 2368 2516 2738 3072 3264 3552 3774 4107 4352 4736 5032 5476 6528 7104 7548 8214 8704 9472 10064 10952 13056 14208 15096 16428 17408 18944 20128 21904 23273 26112 28416 30192 32856 37888 40256 43808 46546 52224 56832 60384 65712 69819 80512 87616 93092 113664 120768 131424 139638 161024 175232 186184 241536 262848 279276 322048 350464 372368 483072 525696 558552 644096 700928 744736 966144 1051392 1117104 1401856 1489472 1932288 2102784 2234208 2978944 4205568 4468416 5957888 8936832 11915776 17873664 23831552 35747328 71494656