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61166248 = 231113127421
BaseRepresentation
bin1110100101010…
…1001010101000
311021002120022121
43221111022220
5111124304443
610023001024
71341622153
oct351251250
9137076277
1061166248
1131588120
1218599174
13c897a60
1481a2c9a
1555834ed
hex3a552a8

61166248 has 64 divisors (see below), whose sum is σ = 136120320. Its totient is φ = 25401600.

The previous prime is 61166213. The next prime is 61166297. The reversal of 61166248 is 84266116.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145078 + ... + 145498.

It is an arithmetic number, because the mean of its divisors is an integer number (2126880).

Almost surely, 261166248 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 61166248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68060160).

61166248 is an abundant number, since it is smaller than the sum of its proper divisors (74954072).

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

61166248 is a wasteful number, since it uses less digits than its factorization.

61166248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 61166248 is about 7820.8853718745. The cubic root of 61166248 is about 394.0070085589.

The spelling of 61166248 in words is "sixty-one million, one hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 127 143 254 286 421 508 572 842 1016 1144 1397 1651 1684 2794 3302 3368 4631 5473 5588 6604 9262 10946 11176 13208 18161 18524 21892 36322 37048 43784 53467 60203 72644 106934 120406 145288 213868 240812 427736 481624 588137 695071 1176274 1390142 2352548 2780284 4705096 5560568 7645781 15291562 30583124 61166248