Search a number
-
+
61460464 = 24131931531
BaseRepresentation
bin1110101001110…
…0111111110000
311021122111220111
43222130333300
5111213213324
610033151104
71344256012
oct352347760
9137574814
1061460464
113176917a
12186bb494
13c96b950
14823c1b2
1555e0794
hex3a9cff0

61460464 has 40 divisors (see below), whose sum is σ = 128988272. Its totient is φ = 28200960.

The previous prime is 61460449. The next prime is 61460501. The reversal of 61460464 is 46406416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39379 + ... + 40909.

Almost surely, 261460464 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 61460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64494136).

61460464 is an abundant number, since it is smaller than the sum of its proper divisors (67527808).

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

61460464 is a wasteful number, since it uses less digits than its factorization.

61460464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 61460464 is about 7839.6724421369. The cubic root of 61460464 is about 394.6377365471.

The spelling of 61460464 in words is "sixty-one million, four hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1531 1544 2509 3062 3088 5018 6124 10036 12248 19903 20072 24496 39806 40144 79612 159224 295483 318448 590966 1181932 2363864 3841279 4727728 7682558 15365116 30730232 61460464