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81629696 = 293137139
BaseRepresentation
bin1001101110110…
…01001000000000
312200121012220002
410313121020000
5131344122241
612033335132
72010561311
oct467311000
9180535802
1081629696
1142094665
12234074a8
1313bb10c5
14abac608
15727689b
hex4dd9200

81629696 has 80 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 38154240.

The previous prime is 81629689. The next prime is 81629707. The reversal of 81629696 is 69692618.

It is a self number, because there is not a number n which added to its sum of digits gives 81629696.

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, 587195 + ... + 587333.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 281629696 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 81629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

81629696 is an abundant number, since it is smaller than the sum of its proper divisors (92525824).

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

81629696 is a wasteful number, since it uses less digits than its factorization.

81629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 81629696 is about 9034.9153842192. The cubic root of 81629696 is about 433.7931865190.

The spelling of 81629696 in words is "eighty-one million, six hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 139 148 248 256 278 296 496 512 556 592 992 1112 1147 1184 1984 2224 2294 2368 3968 4309 4448 4588 4736 5143 7936 8618 8896 9176 9472 10286 15872 17236 17792 18352 18944 20572 34472 35584 36704 41144 68944 71168 73408 82288 137888 146816 159433 164576 275776 293632 318866 329152 551552 587264 637732 658304 1103104 1275464 1316608 2206208 2550928 2633216 5101856 10203712 20407424 40814848 81629696