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71687424 = 283269347
BaseRepresentation
bin1000100010111…
…01110100000000
311222220002122210
410101131310000
5121322444144
611040302120
71530222144
oct421356400
9158802583
1071687424
1137513906
1220011940
1311b0c8c3
149741224
156460ab9
hex445dd00

71687424 has 72 divisors (see below), whose sum is σ = 192054240. Its totient is φ = 23738368.

The previous prime is 71687417. The next prime is 71687467. The reversal of 71687424 is 42478617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206419 + ... + 206765.

It is an arithmetic number, because the mean of its divisors is an integer number (2667420).

Almost surely, 271687424 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 71687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96027120).

71687424 is an abundant number, since it is smaller than the sum of its proper divisors (120366816).

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

71687424 is a wasteful number, since it uses less digits than its factorization.

71687424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 71687424 is about 8466.8426228435. The cubic root of 71687424 is about 415.4138688272.

The spelling of 71687424 in words is "seventy-one million, six hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 347 384 538 694 768 807 1041 1076 1388 1614 2082 2152 2776 3228 4164 4304 5552 6456 8328 8608 11104 12912 16656 17216 22208 25824 33312 34432 44416 51648 66624 68864 88832 93343 103296 133248 186686 206592 266496 280029 373372 560058 746744 1120116 1493488 2240232 2986976 4480464 5973952 8960928 11947904 17921856 23895808 35843712 71687424