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85650432 = 210372569
BaseRepresentation
bin1010001101011…
…10110000000000
312222011111022020
411012232300000
5133411303212
612255441440
72060005500
oct506566000
9188144266
1085650432
114439048a
1224826280
131498b23a
14b537a00
1577bcd8c
hex51aec00

85650432 has 132 divisors (see below), whose sum is σ = 266028120. Its totient is φ = 24428544.

The previous prime is 85650419. The next prime is 85650463. The reversal of 85650432 is 23405658.

It is a junction number, because it is equal to n+sod(n) for n = 85650393 and 85650402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150244 + ... + 150812.

Almost surely, 285650432 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 85650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133014060).

85650432 is an abundant number, since it is smaller than the sum of its proper divisors (180377688).

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

85650432 is a wasteful number, since it uses less digits than its factorization.

85650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 85650432 is about 9254.7518605309. The cubic root of 85650432 is about 440.8016240554.

The spelling of 85650432 in words is "eighty-five million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 569 588 672 768 784 896 1024 1138 1176 1344 1536 1568 1707 1792 2276 2352 2688 3072 3136 3414 3584 3983 4552 4704 5376 6272 6828 7168 7966 9104 9408 10752 11949 12544 13656 15932 18208 18816 21504 23898 25088 27312 27881 31864 36416 37632 47796 50176 54624 55762 63728 72832 75264 83643 95592 109248 111524 127456 145664 150528 167286 191184 218496 223048 254912 291328 334572 382368 436992 446096 509824 582656 669144 764736 873984 892192 1019648 1338288 1529472 1747968 1784384 2039296 2676576 3058944 3568768 4078592 5353152 6117888 7137536 10706304 12235776 14275072 21412608 28550144 42825216 85650432