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61489152 = 21433139
BaseRepresentation
bin1110101010010…
…0000000000000
311021200222021000
43222210000000
5111220123102
610033532000
71344435444
oct352440000
9137628230
1061489152
113178878a
1218714000
13c97ba1a
148248824
1555e901c
hex3aa4000

61489152 has 120 divisors (see below), whose sum is σ = 183495200. Its totient is φ = 20348928.

The previous prime is 61489133. The next prime is 61489157. The reversal of 61489152 is 25198416.

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

Its product of digits (17280) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (61489157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442299 + ... + 442437.

Almost surely, 261489152 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 61489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91747600).

61489152 is an abundant number, since it is smaller than the sum of its proper divisors (122006048).

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

61489152 is an equidigital number, since it uses as much as digits as its factorization.

61489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 61489152 is about 7841.5018969583. The cubic root of 61489152 is about 394.6991288938.

The spelling of 61489152 in words is "sixty-one million, four hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 256 278 288 384 417 432 512 556 576 768 834 864 1024 1112 1152 1251 1536 1668 1728 2048 2224 2304 2502 3072 3336 3456 3753 4096 4448 4608 5004 6144 6672 6912 7506 8192 8896 9216 10008 12288 13344 13824 15012 16384 17792 18432 20016 24576 26688 27648 30024 35584 36864 40032 49152 53376 55296 60048 71168 73728 80064 106752 110592 120096 142336 147456 160128 213504 221184 240192 284672 320256 427008 442368 480384 569344 640512 854016 960768 1138688 1281024 1708032 1921536 2277376 2562048 3416064 3843072 5124096 6832128 7686144 10248192 15372288 20496384 30744576 61489152