Search a number
-
+
54791640 = 233651879
BaseRepresentation
bin1101000100000…
…0110111011000
310211002201000000
43101000313120
5103011313030
65234213000
71233502251
oct321006730
9124081000
1054791640
1128a23852
1216424160
13b4753b7
1473c3b28
154c24860
hex3440dd8

54791640 has 112 divisors (see below), whose sum is σ = 184935600. Its totient is φ = 14603328.

The previous prime is 54791617. The next prime is 54791717. The reversal of 54791640 is 4619745.

54791640 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54791595 and 54791604.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 28221 + ... + 30099.

Almost surely, 254791640 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 54791640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92467800).

54791640 is an abundant number, since it is smaller than the sum of its proper divisors (130143960).

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

54791640 is a wasteful number, since it uses less digits than its factorization.

54791640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54791640 is about 7402.1375291195. The cubic root of 54791640 is about 379.8144061380.

The spelling of 54791640 in words is "fifty-four million, seven hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1879 1944 2430 2916 3240 3645 3758 4860 5637 5832 7290 7516 9395 9720 11274 14580 15032 16911 18790 22548 28185 29160 33822 37580 45096 50733 56370 67644 75160 84555 101466 112740 135288 152199 169110 202932 225480 253665 304398 338220 405864 456597 507330 608796 676440 760995 913194 1014660 1217592 1369791 1521990 1826388 2029320 2282985 2739582 3043980 3652776 4565970 5479164 6087960 6848955 9131940 10958328 13697910 18263880 27395820 54791640