Search a number
-
+
61332352 = 272383251
BaseRepresentation
bin1110100111110…
…1101110000000
311021102000011121
43221331232000
5111200113402
610030322024
71343213344
oct351755600
9137360147
1061332352
11316909a4
1218659314
13c925543
148207624
1555b7837
hex3a7db80

61332352 has 64 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 28864000.

The previous prime is 61332343. The next prime is 61332371. The reversal of 61332352 is 25323316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 244227 + ... + 244477.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 261332352 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 61332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

61332352 is an abundant number, since it is smaller than the sum of its proper divisors (68215808).

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

61332352 is a wasteful number, since it uses less digits than its factorization.

61332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its digits is 3240, while the sum is 25.

The square root of 61332352 is about 7831.4974302492. The cubic root of 61332352 is about 394.3633433531.

Adding to 61332352 its reverse (25323316), we get a palindrome (86655668).

The spelling of 61332352 in words is "sixty-one million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 251 332 368 502 664 736 1004 1328 1472 1909 2008 2656 2944 3818 4016 5312 5773 7636 8032 10624 11546 15272 16064 20833 23092 30544 32128 41666 46184 61088 83332 92368 122176 166664 184736 244352 333328 369472 479159 666656 738944 958318 1333312 1916636 2666624 3833272 7666544 15333088 30666176 61332352