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71738496 = 273262273
BaseRepresentation
bin1000100011010…
…10010010000000
311222222200201100
410101222102000
5121331112441
611041334400
71530524064
oct421522200
9158880640
1071738496
1137549215
1220037400
1311b29c1b
149755aa4
156470cb6
hex446a480

71738496 has 48 divisors (see below), whose sum is σ = 206438310. Its totient is φ = 23912448.

The previous prime is 71738473. The next prime is 71738533. The reversal of 71738496 is 69483717.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 7096896 = 8040^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29985 + ... + 32288.

Almost surely, 271738496 is an apocalyptic number.

It is an amenable number.

71738496 is an abundant number, since it is smaller than the sum of its proper divisors (134699814).

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

71738496 is a wasteful number, since it uses less digits than its factorization.

71738496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62293 (or 62278 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 71738496 is about 8469.8580861783. The cubic root of 71738496 is about 415.5124959858.

The spelling of 71738496 in words is "seventy-one million, seven hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 62273 124546 186819 249092 373638 498184 560457 747276 996368 1120914 1494552 1992736 2241828 2989104 3985472 4483656 5978208 7970944 8967312 11956416 17934624 23912832 35869248 71738496