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81601992 = 2334125929
BaseRepresentation
bin1001101110100…
…10010111001000
312200112210220000
410313102113020
5131342230432
612033003000
72010414453
oct467222710
9180483800
1081601992
114207586a
12233b3460
1313ba1604
14aba249a
15726d57c
hex4dd25c8

81601992 has 40 divisors (see below), whose sum is σ = 228562950. Its totient is φ = 27200448.

The previous prime is 81601991. The next prime is 81602029. The reversal of 81601992 is 29910618.

It can be written as a sum of positive squares in only one way, i.e., 51065316 + 30536676 = 7146^2 + 5526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81601991) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 62317 + ... + 63612.

Almost surely, 281601992 is an apocalyptic number.

It is an amenable number.

81601992 is an abundant number, since it is smaller than the sum of its proper divisors (146960958).

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

81601992 is a wasteful number, since it uses less digits than its factorization.

81601992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125947 (or 125934 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 81601992 is about 9033.3820908893. The cubic root of 81601992 is about 433.7441064790.

The spelling of 81601992 in words is "eighty-one million, six hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 125929 251858 377787 503716 755574 1007432 1133361 1511148 2266722 3022296 3400083 4533444 6800166 9066888 10200249 13600332 20400498 27200664 40800996 81601992