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68902144 = 28299281
BaseRepresentation
bin1000001101101…
…01110100000000
311210122120222021
410012311310000
5120114332034
610500451224
71464441613
oct406656400
9153576867
1068902144
1135991223
121b0a9b14
1311375bcc
14921817a
1560b06b4
hex41b5d00

68902144 has 36 divisors (see below), whose sum is σ = 142293060. Its totient is φ = 33259520.

The previous prime is 68902121. The next prime is 68902157. The reversal of 68902144 is 44120986.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 18662400 = 7088^2 + 4320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2784 + ... + 12064.

It is an arithmetic number, because the mean of its divisors is an integer number (3952585).

Almost surely, 268902144 is an apocalyptic number.

68902144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71146530).

68902144 is an abundant number, since it is smaller than the sum of its proper divisors (73390916).

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

68902144 is an equidigital number, since it uses as much as digits as its factorization.

68902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 68902144 is about 8300.7315340276. The cubic root of 68902144 is about 409.9626061474.

The spelling of 68902144 in words is "sixty-eight million, nine hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 9281 18562 37124 74248 148496 269149 296992 538298 593984 1076596 1187968 2153192 2375936 4306384 8612768 17225536 34451072 68902144