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61125312 = 2632411321
BaseRepresentation
bin1110100100101…
…1001011000000
311021000111011110
43221023023000
5111122002222
610022043320
71341361623
oct351131300
9137014143
1061125312
113155a396
1218579540
13c882231
148191dba
15557630c
hex3a4b2c0

61125312 has 56 divisors (see below), whose sum is σ = 162521392. Its totient is φ = 20275200.

The previous prime is 61125307. The next prime is 61125331. The reversal of 61125312 is 21352116.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45612 + ... + 46932.

Almost surely, 261125312 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 61125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81260696).

61125312 is an abundant number, since it is smaller than the sum of its proper divisors (101396080).

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

61125312 is a wasteful number, since it uses less digits than its factorization.

61125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 61125312 is about 7818.2678388502. The cubic root of 61125312 is about 393.9190914971.

Adding to 61125312 its reverse (21352116), we get a palindrome (82477428).

The spelling of 61125312 in words is "sixty-one million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1321 1446 1928 2642 2892 3856 3963 5284 5784 7712 7926 10568 11568 15424 15852 21136 23136 31704 42272 46272 63408 84544 126816 253632 318361 636722 955083 1273444 1910166 2546888 3820332 5093776 7640664 10187552 15281328 20375104 30562656 61125312