Search a number
-
+
55171692 = 2235311831
BaseRepresentation
bin1101001001110…
…1101001101100
310211211000100000
43102131221230
5103110443232
65250304300
71236644262
oct322355154
9124730300
1055171692
1129163344
1216588090
13b579394
147482432
154c9c27c
hex349da6c

55171692 has 72 divisors (see below), whose sum is σ = 149373952. Its totient is φ = 17787600.

The previous prime is 55171679. The next prime is 55171747. The reversal of 55171692 is 29617155.

55171692 is a `hidden beast` number, since 551 + 7 + 16 + 92 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29217 + ... + 31047.

Almost surely, 255171692 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 55171692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74686976).

55171692 is an abundant number, since it is smaller than the sum of its proper divisors (94202260).

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

55171692 is a wasteful number, since it uses less digits than its factorization.

55171692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1867 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 55171692 is about 7427.7649397379. The cubic root of 55171692 is about 380.6905541196.

The spelling of 55171692 in words is "fifty-five million, one hundred seventy-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 1831 2511 3348 3662 5022 5493 7324 7533 10044 10986 15066 16479 21972 30132 32958 49437 56761 65916 98874 113522 148311 170283 197748 227044 296622 340566 444933 510849 593244 681132 889866 1021698 1532547 1779732 2043396 3065094 4597641 6130188 9195282 13792923 18390564 27585846 55171692