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63692096 = 2613372069
BaseRepresentation
bin1111001011110…
…1110101000000
311102211220010112
43302331311000
5112301121341
610153050452
71402242146
oct362756500
9142756115
1063692096
1132a528a6
12193b6a28
1310270640
14865d596
1558d1aeb
hex3cbdd40

63692096 has 56 divisors (see below), whose sum is σ = 139857480. Its totient is φ = 28588032.

The previous prime is 63692077. The next prime is 63692099. The reversal of 63692096 is 69029636.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 60217600 = 1864^2 + 7760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63692099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29750 + ... + 31818.

It is an arithmetic number, because the mean of its divisors is an integer number (2497455).

Almost surely, 263692096 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 63692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69928740).

63692096 is an abundant number, since it is smaller than the sum of its proper divisors (76165384).

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

63692096 is a wasteful number, since it uses less digits than its factorization.

63692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 63692096 is about 7980.7327984340. The cubic root of 63692096 is about 399.3575018763.

The spelling of 63692096 in words is "sixty-three million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2069 2368 3848 4138 7696 8276 15392 16552 26897 30784 33104 53794 66208 76553 107588 132416 153106 215176 306212 430352 612424 860704 995189 1224848 1721408 1990378 2449696 3980756 4899392 7961512 15923024 31846048 63692096