Search a number
-
+
61431612 = 223114111351
BaseRepresentation
bin1110101001010…
…1111100111100
311021121001022220
43222111330330
5111211302422
610032405340
71344105624
oct352257474
9137531286
1061431612
1131749530
12186a6850
13c95b788
148231884
1555d6e5c
hex3a95f3c

61431612 has 48 divisors (see below), whose sum is σ = 160199424. Its totient is φ = 18160000.

The previous prime is 61431607. The next prime is 61431619. The reversal of 61431612 is 21613416.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61431619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264 + ... + 11087.

It is an arithmetic number, because the mean of its divisors is an integer number (3337488).

Almost surely, 261431612 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 61431612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80099712).

61431612 is an abundant number, since it is smaller than the sum of its proper divisors (98767812).

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

61431612 is a wasteful number, since it uses less digits than its factorization.

61431612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410 (or 11408 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 61431612 is about 7837.8320982272. The cubic root of 61431612 is about 394.5759739690.

The spelling of 61431612 in words is "sixty-one million, four hundred thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 11351 22702 34053 45404 68106 124861 136212 249722 374583 465391 499444 749166 930782 1396173 1498332 1861564 2792346 5119301 5584692 10238602 15357903 20477204 30715806 61431612