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42836736 = 283172193
BaseRepresentation
bin1010001101101…
…0001100000000
32222121022221210
42203122030000
541431233421
64130050120
71030051305
oct243321400
988538853
1042836736
11221a8968
1212419940
138b4aaa7
1459910ac
153b62576
hex28da300

42836736 has 108 divisors (see below), whose sum is σ = 121736552. Its totient is φ = 13369344.

The previous prime is 42836711. The next prime is 42836743. The reversal of 42836736 is 63763824.

It is a super-2 number, since 2×428367362 = 3669971902267392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42836694 and 42836703.

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, 221856 + ... + 222048.

Almost surely, 242836736 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 42836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60868276).

42836736 is an abundant number, since it is smaller than the sum of its proper divisors (78899816).

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

42836736 is a wasteful number, since it uses less digits than its factorization.

42836736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 42836736 is about 6544.9779220407. The cubic root of 42836736 is about 349.8958492827.

The spelling of 42836736 in words is "forty-two million, eight hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 193 204 256 272 289 384 386 408 544 578 579 768 772 816 867 1088 1156 1158 1544 1632 1734 2176 2312 2316 3088 3264 3281 3468 4352 4624 4632 6176 6528 6562 6936 9248 9264 9843 12352 13056 13124 13872 18496 18528 19686 24704 26248 27744 36992 37056 39372 49408 52496 55488 55777 73984 74112 78744 104992 110976 111554 148224 157488 167331 209984 221952 223108 314976 334662 419968 446216 629952 669324 839936 892432 1259904 1338648 1784864 2519808 2677296 3569728 5354592 7139456 10709184 14278912 21418368 42836736