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61393464 = 233711229
BaseRepresentation
bin1110101000110…
…0101000111000
311021112010000000
43222030220320
5111204042324
610031513000
71343556456
oct352145070
9137463000
1061393464
1131722900
1218688760
13c9472c2
1482219d6
1555ca9c9
hex3a8ca38

61393464 has 192 divisors, whose sum is σ = 196308000. Its totient is φ = 17962560.

The previous prime is 61393447. The next prime is 61393469. The reversal of 61393464 is 46439316.

61393464 is a `hidden beast` number, since 613 + 9 + 34 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61393469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117002 + ... + 2117030.

Almost surely, 261393464 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 61393464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98154000).

61393464 is an abundant number, since it is smaller than the sum of its proper divisors (134914536).

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

61393464 is a wasteful number, since it uses less digits than its factorization.

61393464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 61393464 is about 7835.3981392141. The cubic root of 61393464 is about 394.4942820377.

The spelling of 61393464 in words is "sixty-one million, three hundred ninety-three thousand, four hundred sixty-four".