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81539952 = 24313149877
BaseRepresentation
bin1001101110000…
…11001101110000
312200102122210020
410313003031300
5131333234302
612031403440
72010035544
oct467031560
9180378706
1081539952
114203319a
1223383580
1313b7c2c0
14ab87a24
157259ebc
hex4dc3370

81539952 has 80 divisors (see below), whose sum is σ = 228631200. Its totient is φ = 24892416.

The previous prime is 81539933. The next prime is 81539977. The reversal of 81539952 is 25993518.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92538 + ... + 93414.

It is an arithmetic number, because the mean of its divisors is an integer number (2857890).

Almost surely, 281539952 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 81539952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114315600).

81539952 is an abundant number, since it is smaller than the sum of its proper divisors (147091248).

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

81539952 is a wasteful number, since it uses less digits than its factorization.

81539952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 81539952 is about 9029.9475081531. The cubic root of 81539952 is about 433.6341569294.

The spelling of 81539952 in words is "eighty-one million, five hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 596 624 877 894 1192 1754 1788 1937 2384 2631 3508 3576 3874 5262 5811 7016 7152 7748 10524 11401 11622 14032 15496 21048 22802 23244 30992 34203 42096 45604 46488 68406 91208 92976 130673 136812 182416 261346 273624 392019 522692 547248 784038 1045384 1568076 1698749 2090768 3136152 3397498 5096247 6272304 6794996 10192494 13589992 20384988 27179984 40769976 81539952