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61480296 = 2334175581
BaseRepresentation
bin1110101010000…
…1110101101000
311021200112010000
43222201311220
5111214332141
610033423000
71344400563
oct352416550
9137615100
1061480296
1131782069
121870aa60
13c977997
1482454da
1555e65b6
hex3aa1d68

61480296 has 80 divisors (see below), whose sum is σ = 182363940. Its totient is φ = 19284480.

The previous prime is 61480259. The next prime is 61480297. The reversal of 61480296 is 69208416.

61480296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61308900 + 171396 = 7830^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61480296.

It is not an unprimeable number, because it can be changed into a prime (61480297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8226 + ... + 13806.

Almost surely, 261480296 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 61480296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91181970).

61480296 is an abundant number, since it is smaller than the sum of its proper divisors (120883644).

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

61480296 is a wasteful number, since it uses less digits than its factorization.

61480296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61480296 is about 7840.9371888825. The cubic root of 61480296 is about 394.6801790835.

It can be divided in two parts, 61480 and 296, that added together give a triangular number (61776 = T351).

The spelling of 61480296 in words is "sixty-one million, four hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 5581 11016 11162 16743 22324 33486 44648 50229 66972 94877 100458 133944 150687 189754 200916 284631 301374 379508 401832 452061 569262 602748 759016 853893 904122 1138524 1205496 1707786 1808244 2277048 2561679 3415572 3616488 5123358 6831144 7685037 10246716 15370074 20493432 30740148 61480296