Search a number
-
+
61422384 = 2436771269
BaseRepresentation
bin1110101001001…
…1101100110000
311021120120200010
43222103230300
5111211004014
610032254520
71344040002
oct352235460
9137516603
1061422384
1131742601
12186a1440
13c95750a
14822c372
1555d4359
hex3a93b30

61422384 has 80 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 19810560.

The previous prime is 61422379. The next prime is 61422391. The reversal of 61422384 is 48322416.

61422384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228202 + ... + 228470.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 261422384 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 61422384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

61422384 is an abundant number, since it is smaller than the sum of its proper divisors (102495696).

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

61422384 is a wasteful number, since it uses less digits than its factorization.

61422384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 61422384 is about 7837.2433929284. The cubic root of 61422384 is about 394.5562157950.

The spelling of 61422384 in words is "sixty-one million, four hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 71 134 142 201 213 268 269 284 402 426 536 538 568 804 807 852 1072 1076 1136 1608 1614 1704 2152 3216 3228 3408 4304 4757 6456 9514 12912 14271 18023 19028 19099 28542 36046 38056 38198 54069 57084 57297 72092 76112 76396 108138 114168 114594 144184 152792 216276 228336 229188 288368 305584 432552 458376 865104 916752 1279633 2559266 3838899 5118532 7677798 10237064 15355596 20474128 30711192 61422384