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61361424 = 24322397191
BaseRepresentation
bin1110101000010…
…0110100010000
311021110111001100
43222010310100
5111202031144
610031104400
71343364165
oct352046420
9137414040
1061361424
1131700823
1218672100
13c935847
14821406c
1555c1269
hex3a84d10

61361424 has 120 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 19261440.

The previous prime is 61361423. The next prime is 61361437. The reversal of 61361424 is 42416316.

61361424 is a `hidden beast` number, since 613 + 6 + 1 + 42 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61361423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321169 + ... + 321359.

Almost surely, 261361424 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 61361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

61361424 is an abundant number, since it is smaller than the sum of its proper divisors (120626928).

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

61361424 is a wasteful number, since it uses less digits than its factorization.

61361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61361424 is about 7833.3533049391. The cubic root of 61361424 is about 394.4256439157.

The spelling of 61361424 in words is "sixty-one million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 191 194 207 276 291 368 382 388 414 552 573 582 764 776 828 873 1104 1146 1164 1528 1552 1656 1719 1746 2231 2292 2328 3056 3312 3438 3492 4393 4462 4584 4656 6693 6876 6984 8786 8924 9168 13179 13386 13752 13968 17572 17848 18527 20079 26358 26772 27504 35144 35696 37054 39537 40158 52716 53544 55581 70288 74108 79074 80316 105432 107088 111162 148216 158148 160632 166743 210864 222324 296432 316296 321264 333486 426121 444648 632592 666972 852242 889296 1278363 1333944 1704484 2556726 2667888 3408968 3835089 5113452 6817936 7670178 10226904 15340356 20453808 30680712 61361424