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81698328 = 233317191171
BaseRepresentation
bin1001101111010…
…01111000011000
312200201201001000
410313221320120
5131403321303
612035025000
72011265355
oct467517030
9180651030
1081698328
1142131188
122343b160
1313c0640a
14abc962c
15728bda3
hex4de9e18

81698328 has 128 divisors (see below), whose sum is σ = 253152000. Its totient is φ = 24261120.

The previous prime is 81698327. The next prime is 81698333. The reversal of 81698328 is 82389618.

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 (81698327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69183 + ... + 70353.

It is an arithmetic number, because the mean of its divisors is an integer number (1977750).

Almost surely, 281698328 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 81698328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126576000).

81698328 is an abundant number, since it is smaller than the sum of its proper divisors (171453672).

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

81698328 is a wasteful number, since it uses less digits than its factorization.

81698328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 81698328 is about 9038.7127402081. The cubic root of 81698328 is about 433.9147262506.

The spelling of 81698328 in words is "eighty-one million, six hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1171 1224 1292 1368 1836 1938 2052 2342 2584 2907 3513 3672 3876 4104 4684 5814 7026 7752 8721 9368 10539 11628 14052 17442 19907 21078 22249 23256 28104 31617 34884 39814 42156 44498 59721 63234 66747 69768 79628 84312 88996 119442 126468 133494 159256 177992 179163 200241 238884 252936 266988 358326 378233 400482 477768 533976 537489 600723 716652 756466 800964 1074978 1134699 1201446 1433304 1512932 1601928 2149956 2269398 2402892 3025864 3404097 4299912 4538796 4805784 6808194 9077592 10212291 13616388 20424582 27232776 40849164 81698328