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81799952 = 24132971191
BaseRepresentation
bin1001110000000…
…10101100010000
312200220212102212
410320002230100
5131420044302
612041131252
72012200553
oct470025420
9180825385
1081799952
11421a0573
1223489b28
1313c40750
14ac1469a
1572ac052
hex4e02b10

81799952 has 80 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 35750400.

The previous prime is 81799897. The next prime is 81799973. The reversal of 81799952 is 25999718.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 81799952.

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, 428177 + ... + 428367.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 281799952 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 81799952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

81799952 is an abundant number, since it is smaller than the sum of its proper divisors (98188528).

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

81799952 is a wasteful number, since it uses less digits than its factorization.

81799952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 408240, while the sum is 50.

The square root of 81799952 is about 9044.3325900809. The cubic root of 81799952 is about 434.0945662392.

The spelling of 81799952 in words is "eighty-one million, seven hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 71 104 116 142 191 208 232 284 377 382 464 568 754 764 923 1136 1508 1528 1846 2059 2483 3016 3056 3692 4118 4966 5539 6032 7384 8236 9932 11078 13561 14768 16472 19864 22156 26767 27122 32944 39728 44312 53534 54244 72007 88624 107068 108488 144014 176293 214136 216976 288028 352586 393269 428272 576056 705172 786538 1152112 1410344 1573076 2820688 3146152 5112497 6292304 10224994 20449988 40899976 81799952