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61466148 = 2233836857
BaseRepresentation
bin1110101001111…
…0011000100100
311021122210201000
43222132120210
5111213404043
610033233300
71344311412
oct352363044
9137583630
1061466148
1131772477
1218702830
13c971403
1482402b2
1555e22d3
hex3a9e624

61466148 has 48 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 20238912.

The previous prime is 61466137. The next prime is 61466183. The reversal of 61466148 is 84166416.

61466148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5536 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 261466148 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 61466148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

61466148 is an abundant number, since it is smaller than the sum of its proper divisors (99834012).

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

61466148 is a wasteful number, since it uses less digits than its factorization.

61466148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6945 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61466148 is about 7840.0349489017. The cubic root of 61466148 is about 394.6499018298.

The spelling of 61466148 in words is "sixty-one million, four hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 6857 8964 13714 20571 27428 41142 61713 82284 123426 185139 246852 370278 569131 740556 1138262 1707393 2276524 3414786 5122179 6829572 10244358 15366537 20488716 30733074 61466148