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61801216 = 28733307
BaseRepresentation
bin1110101111000…
…0001100000000
311022021211022221
43223300030000
5111310114331
610044340424
71350205321
oct353601400
9138254287
1061801216
1131981194
1218844714
13ca5aa89
1482ca448
15565b711
hex3af0300

61801216 has 36 divisors (see below), whose sum is σ = 125088712. Its totient is φ = 30468096.

The previous prime is 61801213. The next prime is 61801217. The reversal of 61801216 is 61210816.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61801213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17035 + ... + 20341.

Almost surely, 261801216 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 61801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544356).

61801216 is an abundant number, since it is smaller than the sum of its proper divisors (63287496).

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

61801216 is an equidigital number, since it uses as much as digits as its factorization.

61801216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 61801216 is about 7861.3749433544. The cubic root of 61801216 is about 395.3657158780.

It can be divided in two parts, 6180 and 1216, that added together give a square (7396 = 862).

The spelling of 61801216 in words is "sixty-one million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 3307 4672 6614 9344 13228 18688 26456 52912 105824 211648 241411 423296 482822 846592 965644 1931288 3862576 7725152 15450304 30900608 61801216