Search a number
-
+
61551006 = 23112149569
BaseRepresentation
bin1110101011001…
…1000110011110
311021211010002220
43222303012132
5111224113011
610035130210
71345113666
oct352630636
9137733086
1061551006
1131820200
1218743966
13c9a0c1a
1482631a6
15560c506
hex3ab319e

61551006 has 48 divisors (see below), whose sum is σ = 136458000. Its totient is φ = 18494080.

The previous prime is 61550989. The next prime is 61551011. The reversal of 61551006 is 60015516.

It is a super-2 number, since 2×615510062 = 7577052679224072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107890 + ... + 108458.

It is an arithmetic number, because the mean of its divisors is an integer number (2842875).

Almost surely, 261551006 is an apocalyptic number.

61551006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61551006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229000).

61551006 is an abundant number, since it is smaller than the sum of its proper divisors (74906994).

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

61551006 is a wasteful number, since it uses less digits than its factorization.

61551006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 61551006 is about 7845.4449204618. Note that the first 3 decimals coincide. The cubic root of 61551006 is about 394.8314315711.

The spelling of 61551006 in words is "sixty-one million, five hundred fifty-one thousand, six".

Divisors: 1 2 3 6 11 22 33 66 121 149 242 298 363 447 569 726 894 1138 1639 1707 3278 3414 4917 6259 9834 12518 18029 18777 36058 37554 54087 68849 84781 108174 137698 169562 206547 254343 413094 508686 932591 1865182 2797773 5595546 10258501 20517002 30775503 61551006