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81433536 = 2631761409
BaseRepresentation
bin1001101101010…
…01001111000000
312200020020210220
410312221033000
5131321333121
612025223040
72006113362
oct466511700
9180206726
1081433536
1141a70248
1223331a80
1313b42a32
14ab5ad32
1572386c6
hex4da93c0

81433536 has 112 divisors (see below), whose sum is σ = 232440480. Its totient is φ = 25067520.

The previous prime is 81433507. The next prime is 81433607. The reversal of 81433536 is 63533418.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81433497 and 81433506.

It is a congruent number.

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, 198900 + ... + 199308.

Almost surely, 281433536 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 81433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116220240).

81433536 is an abundant number, since it is smaller than the sum of its proper divisors (151006944).

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

81433536 is a wasteful number, since it uses less digits than its factorization.

81433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 81433536 is about 9024.0531913326. The cubic root of 81433536 is about 433.4454326684.

The spelling of 81433536 in words is "eighty-one million, four hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 136 183 192 204 244 272 366 408 409 488 544 732 816 818 976 1037 1088 1227 1464 1632 1636 1952 2074 2454 2928 3111 3264 3272 3904 4148 4908 5856 6222 6544 6953 8296 9816 11712 12444 13088 13906 16592 19632 20859 24888 24949 26176 27812 33184 39264 41718 49776 49898 55624 66368 74847 78528 83436 99552 99796 111248 149694 166872 199104 199592 222496 299388 333744 399184 424133 444992 598776 667488 798368 848266 1197552 1272399 1334976 1596736 1696532 2395104 2544798 3393064 4790208 5089596 6786128 10179192 13572256 20358384 27144512 40716768 81433536