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81690252 = 2237389223
BaseRepresentation
bin1001101111001…
…11111010001100
312200201021221220
410313213322030
5131403042002
612034523340
72011233000
oct467477214
9180637856
1081690252
1142126106
1223436550
1313c02837
14abc6700
1572897bc
hex4de7e8c

81690252 has 96 divisors (see below), whose sum is σ = 225792000. Its totient is φ = 22974336.

The previous prime is 81690247. The next prime is 81690269. The reversal of 81690252 is 25209618.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366213 + ... + 366435.

It is an arithmetic number, because the mean of its divisors is an integer number (2352000).

Almost surely, 281690252 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 81690252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896000).

81690252 is an abundant number, since it is smaller than the sum of its proper divisors (144101748).

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

81690252 is a wasteful number, since it uses less digits than its factorization.

81690252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 81690252 is about 9038.2659841366. The cubic root of 81690252 is about 433.9004280763.

The spelling of 81690252 in words is "eighty-one million, six hundred ninety thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 223 267 294 343 356 446 534 588 623 669 686 892 1029 1068 1246 1338 1372 1561 1869 2058 2492 2676 3122 3738 4116 4361 4683 6244 7476 8722 9366 10927 13083 17444 18732 19847 21854 26166 30527 32781 39694 43708 52332 59541 61054 65562 76489 79388 91581 119082 122108 131124 138929 152978 183162 229467 238164 277858 305956 366324 416787 458934 555716 833574 917868 972503 1667148 1945006 2917509 3890012 5835018 6807521 11670036 13615042 20422563 27230084 40845126 81690252