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68828672 = 29113101
BaseRepresentation
bin1000001101000…
…11111000000000
311210111212012002
410012203320000
5120110004142
610455123132
71464014453
oct406437000
9153455162
1068828672
1135941000
121b0734a8
131134b633
1491d949a
156098a32
hex41a3e00

68828672 has 80 divisors (see below), whose sum is σ = 152762544. Its totient is φ = 30976000.

The previous prime is 68828653. The next prime is 68828701. The reversal of 68828672 is 27682886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681422 + ... + 681522.

Almost surely, 268828672 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 68828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76381272).

68828672 is an abundant number, since it is smaller than the sum of its proper divisors (83933872).

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

68828672 is an equidigital number, since it uses as much as digits as its factorization.

68828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 68828672 is about 8296.3047195724. The cubic root of 68828672 is about 409.8168366867.

The spelling of 68828672 in words is "sixty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 128 176 202 242 256 352 404 484 512 704 808 968 1111 1331 1408 1616 1936 2222 2662 2816 3232 3872 4444 5324 5632 6464 7744 8888 10648 12221 12928 15488 17776 21296 24442 25856 30976 35552 42592 48884 51712 61952 71104 85184 97768 134431 142208 170368 195536 268862 284416 340736 391072 537724 568832 681472 782144 1075448 1564288 2150896 3128576 4301792 6257152 8603584 17207168 34414336 68828672