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71974848 = 2631153643
BaseRepresentation
bin1000100101000…
…11111111000000
312000102200221010
410102203333000
5121411143343
611050400520
71532530131
oct422437700
9160380833
1071974848
113769a850
1220130140
1311bb068a
1497b7c88
1564bad33
hex44a3fc0

71974848 has 112 divisors (see below), whose sum is σ = 211994496. Its totient is φ = 21365760.

The previous prime is 71974823. The next prime is 71974853. The reversal of 71974848 is 84847917.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 71974797 and 71974806.

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, 111615 + ... + 112257.

It is an arithmetic number, because the mean of its divisors is an integer number (1892808).

Almost surely, 271974848 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 71974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105997248).

71974848 is an abundant number, since it is smaller than the sum of its proper divisors (140019648).

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

71974848 is a wasteful number, since it uses less digits than its factorization.

71974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 71974848 is about 8483.7991489662. The cubic root of 71974848 is about 415.9683161274.

The spelling of 71974848 in words is "seventy-one million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 643 704 848 1056 1166 1272 1286 1696 1749 1929 2112 2332 2544 2572 3392 3498 3858 4664 5088 5144 6996 7073 7716 9328 10176 10288 13992 14146 15432 18656 20576 21219 27984 28292 30864 34079 37312 41152 42438 55968 56584 61728 68158 84876 102237 111936 113168 123456 136316 169752 204474 226336 272632 339504 374869 408948 452672 545264 679008 749738 817896 1090528 1124607 1358016 1499476 1635792 2181056 2249214 2998952 3271584 4498428 5997904 6543168 8996856 11995808 17993712 23991616 35987424 71974848