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472824054 = 2354161389
BaseRepresentation
bin11100001011101…
…011100011110110
31012221200221200000
4130023223203312
51432020332204
6114530132130
714500636533
oct3413534366
91187627600
10472824054
1122299578a
12112421046
1376c5b661
1446b1dd8a
152b79b039
hex1c2eb8f6

472824054 has 96 divisors (see below), whose sum is σ = 1108991520. Its totient is φ = 150854400.

The previous prime is 472824049. The next prime is 472824061. The reversal of 472824054 is 450428274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215292 + ... + 1215680.

It is an arithmetic number, because the mean of its divisors is an integer number (11551995).

Almost surely, 2472824054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472824054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554495760).

472824054 is an abundant number, since it is smaller than the sum of its proper divisors (636167466).

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

472824054 is a wasteful number, since it uses less digits than its factorization.

472824054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 472824054 is about 21744.5177918481. The cubic root of 472824054 is about 779.0521326280.

It can be divided in two parts, 4728 and 24054, that added together give a palindrome (28782).

The spelling of 472824054 in words is "four hundred seventy-two million, eight hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 61 81 82 122 123 162 183 243 246 366 369 389 486 549 738 778 1098 1107 1167 1647 2214 2334 2501 3294 3321 3501 4941 5002 6642 7002 7503 9882 9963 10503 14823 15006 15949 19926 21006 22509 23729 29646 31509 31898 45018 47458 47847 63018 67527 71187 94527 95694 135054 142374 143541 189054 202581 213561 287082 405162 427122 430623 607743 640683 861246 972889 1215486 1281366 1291869 1922049 1945778 2583738 2918667 3844098 3875607 5766147 5837334 7751214 8756001 11532294 17512002 26268003 52536006 78804009 157608018 236412027 472824054