Search a number
-
+
476014872 = 23347479881
BaseRepresentation
bin11100010111110…
…110100100011000
31020011201001122110
4130113312210120
51433324433442
6115122352320
714540026314
oct3427664430
91204631573
10476014872
11224775023
121134bb6a0
1377807b08
1447310b44
152bbcb69c
hex1c5f6918

476014872 has 64 divisors (see below), whose sum is σ = 1219276800. Its totient is φ = 154795520.

The previous prime is 476014871. The next prime is 476014901. The reversal of 476014872 is 278410674.

It is a self number, because there is not a number n which added to its sum of digits gives 476014872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476014871) 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, 539872 + ... + 540752.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2476014872 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 476014872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

476014872 is an abundant number, since it is smaller than the sum of its proper divisors (743261928).

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

476014872 is a wasteful number, since it uses less digits than its factorization.

476014872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 476014872 is about 21817.7650551105. The cubic root of 476014872 is about 780.8006637085.

The spelling of 476014872 in words is "four hundred seventy-six million, fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 479 564 881 958 1128 1437 1762 1916 2643 2874 3524 3832 5286 5748 7048 10572 11496 21144 22513 41407 45026 67539 82814 90052 124221 135078 165628 180104 248442 270156 331256 421999 496884 540312 843998 993768 1265997 1687996 2531994 3375992 5063988 10127976 19833953 39667906 59501859 79335812 119003718 158671624 238007436 476014872