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61942272 = 29372823
BaseRepresentation
bin1110110001001…
…0101000000000
311022112222211020
43230102220000
5111324123042
610051345440
71351333500
oct354225000
9138488736
1061942272
1131a68167
12188b2280
13caaa042
148325a00
1556883ec
hex3b12a00

61942272 has 120 divisors (see below), whose sum is σ = 192193056. Its totient is φ = 17676288.

The previous prime is 61942253. The next prime is 61942273. The reversal of 61942272 is 27224916.

It is not an unprimeable number, because it can be changed into a prime (61942273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74853 + ... + 75675.

Almost surely, 261942272 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 61942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096528).

61942272 is an abundant number, since it is smaller than the sum of its proper divisors (130250784).

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

61942272 is an equidigital number, since it uses as much as digits as its factorization.

61942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 835 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 61942272 is about 7870.3412886609. The cubic root of 61942272 is about 395.6662834862. Note that the first 3 decimals are identical.

The spelling of 61942272 in words is "sixty-one million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 823 896 1176 1344 1536 1568 1646 1792 2352 2469 2688 3136 3292 3584 4704 4938 5376 5761 6272 6584 9408 9876 10752 11522 12544 13168 17283 18816 19752 23044 25088 26336 34566 37632 39504 40327 46088 52672 69132 75264 79008 80654 92176 105344 120981 138264 158016 161308 184352 210688 241962 276528 316032 322616 368704 421376 483924 553056 632064 645232 737408 967848 1106112 1264128 1290464 1474816 1935696 2212224 2580928 2949632 3871392 4424448 5161856 7742784 8848896 10323712 15485568 20647424 30971136 61942272