Search a number
-
+
61444236 = 22372831259
BaseRepresentation
bin1110101001100…
…1000010001100
311021121200122110
43222121002030
5111212203421
610032544020
71344160500
oct352310214
9137550573
1061444236
1131757a67
12186b2010
13c964449
148236300
1555daa76
hex3a9908c

61444236 has 72 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 17330208.

The previous prime is 61444223. The next prime is 61444249. The reversal of 61444236 is 63244416.

It is an interprime number because it is at equal distance from previous prime (61444223) and next prime (61444249).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48175 + ... + 49433.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 261444236 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 61444236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

61444236 is an abundant number, since it is smaller than the sum of its proper divisors (107476404).

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

61444236 is a wasteful number, since it uses less digits than its factorization.

61444236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 61444236 is about 7838.6373815862. The cubic root of 61444236 is about 394.6030001518.

It can be divided in two parts, 614 and 44236, that added together give a triangular number (44850 = T299).

The spelling of 61444236 in words is "sixty-one million, four hundred forty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 498 581 588 996 1162 1259 1743 2324 2518 3486 3777 4067 5036 6972 7554 8134 8813 12201 15108 16268 17626 24402 26439 35252 48804 52878 61691 104497 105756 123382 185073 208994 246764 313491 370146 417988 626982 731479 740292 1253964 1462958 2194437 2925916 4388874 5120353 8777748 10240706 15361059 20481412 30722118 61444236