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61472896 = 271792683
BaseRepresentation
bin1110101010000…
…0000010000000
311021200010221221
43222200002000
5111214113041
610033324424
71344340162
oct352400200
9137603857
1061472896
1131777551
1218706714
13c9744c4
148242932
1555e42d1
hex3aa0080

61472896 has 32 divisors (see below), whose sum is σ = 123195600. Its totient is φ = 30553344.

The previous prime is 61472893. The next prime is 61472903. The reversal of 61472896 is 69827416.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (61472893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21571 + ... + 24253.

Almost surely, 261472896 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 61472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61597800).

61472896 is an abundant number, since it is smaller than the sum of its proper divisors (61722704).

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

61472896 is a wasteful number, since it uses less digits than its factorization.

61472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2864 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 61472896 is about 7840.4652923152. The cubic root of 61472896 is about 394.6643433838.

The spelling of 61472896 in words is "sixty-one million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2683 2864 5366 5728 10732 11456 21464 22912 42928 85856 171712 343424 480257 960514 1921028 3842056 7684112 15368224 30736448 61472896