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81693432 = 233217312153
BaseRepresentation
bin1001101111010…
…00101011111000
312200201110022200
410313220223320
5131403142212
612034550200
72011245162
oct467505370
9180643280
1081693432
1142128537
1223438360
1313c04112
14abc7932
15728a6dc
hex4de8af8

81693432 has 96 divisors (see below), whose sum is σ = 241937280. Its totient is φ = 24791040.

The previous prime is 81693431. The next prime is 81693433. The reversal of 81693432 is 23439618.

It is an interprime number because it is at equal distance from previous prime (81693431) and next prime (81693433).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81693431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36868 + ... + 39020.

It is an arithmetic number, because the mean of its divisors is an integer number (2520180).

Almost surely, 281693432 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 81693432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120968640).

81693432 is an abundant number, since it is smaller than the sum of its proper divisors (160243848).

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

81693432 is a wasteful number, since it uses less digits than its factorization.

81693432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2206 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 81693432 is about 9038.4419011243. The cubic root of 81693432 is about 433.9060582277.

The spelling of 81693432 in words is "eighty-one million, six hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2153 2232 3162 4216 4306 4743 6324 6459 8612 9486 12648 12918 17224 18972 19377 25836 36601 37944 38754 51672 66743 73202 77508 109803 133486 146404 155016 200229 219606 266972 292808 329409 400458 439212 533944 600687 658818 800916 878424 1134631 1201374 1317636 1601832 2269262 2402748 2635272 3403893 4538524 4805496 6807786 9077048 10211679 13615572 20423358 27231144 40846716 81693432