Search a number
-
+
61321752 = 2333733889
BaseRepresentation
bin1110100111101…
…1001000011000
311021101110122000
43221323020120
5111144244002
610030201000
71343140422
oct351731030
9137343560
1061321752
1131683a38
1218653160
13c92077b
148203812
1555b461c
hex3a7b218

61321752 has 64 divisors (see below), whose sum is σ = 172716000. Its totient is φ = 20155392.

The previous prime is 61321717. The next prime is 61321763. The reversal of 61321752 is 25712316.

It is a happy number.

61321752 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 (27).

It is a congruent number.

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, 13824 + ... + 17712.

Almost surely, 261321752 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 61321752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86358000).

61321752 is an abundant number, since it is smaller than the sum of its proper divisors (111394248).

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

61321752 is a wasteful number, since it uses less digits than its factorization.

61321752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3967 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 61321752 is about 7830.8206466500. The cubic root of 61321752 is about 394.3406229228.

The spelling of 61321752 in words is "sixty-one million, three hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3889 3942 5256 7778 7884 11667 15556 15768 23334 31112 35001 46668 70002 93336 105003 140004 210006 280008 283897 420012 567794 840024 851691 1135588 1703382 2271176 2555073 3406764 5110146 6813528 7665219 10220292 15330438 20440584 30660876 61321752