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81525040 = 2453171463
BaseRepresentation
bin1001101101111…
…11100100110000
312200101220022221
410312333210300
5131332300130
612031210424
72006644222
oct466774460
9180356287
1081525040
1142022a73
1223376a14
1313b7558c
14ab82412
15725587a
hex4dbf930

81525040 has 80 divisors (see below), whose sum is σ = 198844416. Its totient is φ = 31046400.

The previous prime is 81524999. The next prime is 81525089. The reversal of 81525040 is 4052518.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 81524996 and 81525014.

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, 175849 + ... + 176311.

Almost surely, 281525040 is an apocalyptic number.

81525040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99422208).

81525040 is an abundant number, since it is smaller than the sum of its proper divisors (117319376).

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

81525040 is a wasteful number, since it uses less digits than its factorization.

81525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 81525040 is about 9029.1217734617. The cubic root of 81525040 is about 433.6077210264.

Adding to 81525040 its reverse (4052518), we get a palindrome (85577558).

The spelling of 81525040 in words is "eighty-one million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 463 496 568 620 710 926 1136 1240 1420 1852 2201 2315 2480 2840 3704 4402 4630 5680 7408 8804 9260 11005 14353 17608 18520 22010 28706 32873 35216 37040 44020 57412 65746 71765 88040 114824 131492 143530 164365 176080 229648 262984 287060 328730 525968 574120 657460 1019063 1148240 1314920 2038126 2629840 4076252 5095315 8152504 10190630 16305008 20381260 40762520 81525040