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61125248 = 271074463
BaseRepresentation
bin1110100100101…
…1001010000000
311021000111002002
43221023022000
5111122001443
610022043132
71341361502
oct351131200
9137014062
1061125248
113155a338
12185794a8
13c8821b2
148191d72
1555762b8
hex3a4b280

61125248 has 32 divisors (see below), whose sum is σ = 122938560. Its totient is φ = 30270208.

The previous prime is 61125241. The next prime is 61125263. The reversal of 61125248 is 84252116.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61125248.

It is not an unprimeable number, because it can be changed into a prime (61125241) 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, 11465 + ... + 15927.

It is an arithmetic number, because the mean of its divisors is an integer number (3841830).

Almost surely, 261125248 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 61125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61469280).

61125248 is an abundant number, since it is smaller than the sum of its proper divisors (61813312).

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

61125248 is a wasteful number, since it uses less digits than its factorization.

61125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4572 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 61125248 is about 7818.2637458709. The cubic root of 61125248 is about 393.9189540154.

The spelling of 61125248 in words is "sixty-one million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 4463 6848 8926 13696 17852 35704 71408 142816 285632 477541 571264 955082 1910164 3820328 7640656 15281312 30562624 61125248