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61863228 = 22327317919
BaseRepresentation
bin1110101111111…
…1010100111100
311022101222101200
43223333110330
5111314110403
610045535500
71350554160
oct353772474
9138358350
1061863228
1131a13839
1218874590
13ca8007b
148304ca0
15566eca3
hex3aff53c

61863228 has 72 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 17102880.

The previous prime is 61863203. The next prime is 61863247. The reversal of 61863228 is 82236816.

61863228 is a `hidden beast` number, since 6 + 18 + 632 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61863192 and 61863201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3853 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 261863228 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 61863228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

61863228 is an abundant number, since it is smaller than the sum of its proper divisors (122641092).

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

61863228 is a wasteful number, since it uses less digits than its factorization.

61863228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7962 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61863228 is about 7865.3180482419. The cubic root of 61863228 is about 395.4979097332.

The spelling of 61863228 in words is "sixty-one million, eight hundred sixty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 7919 15838 23757 31676 47514 55433 71271 95028 110866 142542 166299 221732 245489 285084 332598 490978 498897 665196 736467 981956 997794 1472934 1718423 1995588 2209401 2945868 3436846 4418802 5155269 6873692 8837604 10310538 15465807 20621076 30931614 61863228