Search a number
-
+
81453672 = 233223101487
BaseRepresentation
bin1001101101011…
…10001001101000
312200021021102200
410312232021220
5131323004142
612025500200
72006226156
oct466561150
9180237380
1081453672
1141a84393
1223341660
1313b4bc51
14ab643d6
15723e64c
hex4dae268

81453672 has 96 divisors (see below), whose sum is σ = 232951680. Its totient is φ = 25660800.

The previous prime is 81453667. The next prime is 81453719. The reversal of 81453672 is 27635418.

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

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 23 ways as a sum of consecutive naturals, for example, 167013 + ... + 167499.

It is an arithmetic number, because the mean of its divisors is an integer number (2426580).

Almost surely, 281453672 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 81453672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116475840).

81453672 is an abundant number, since it is smaller than the sum of its proper divisors (151498008).

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

81453672 is a wasteful number, since it uses less digits than its factorization.

81453672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 81453672 is about 9025.1688072855. The cubic root of 81453672 is about 433.4811556165.

The spelling of 81453672 in words is "eighty-one million, four hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 101 138 184 202 207 276 303 404 414 487 552 606 808 828 909 974 1212 1461 1656 1818 1948 2323 2424 2922 3636 3896 4383 4646 5844 6969 7272 8766 9292 11201 11688 13938 17532 18584 20907 22402 27876 33603 35064 41814 44804 49187 55752 67206 83628 89608 98374 100809 134412 147561 167256 196748 201618 268824 295122 393496 403236 442683 590244 806472 885366 1131301 1180488 1770732 2262602 3393903 3541464 4525204 6787806 9050408 10181709 13575612 20363418 27151224 40726836 81453672