Search a number
-
+
474558672 = 243717251331
BaseRepresentation
bin11100010010010…
…011000011010000
31020001222002010010
4130102103003100
51432441334142
6115031234520
714521452660
oct3422230320
91201862103
10474558672
1122396aa55
12112b18a40
1377418063
14470521a0
152b9dee9c
hex1c4930d0

474558672 has 160 divisors (see below), whose sum is σ = 1493904384. Its totient is φ = 126720000.

The previous prime is 474558659. The next prime is 474558673. The reversal of 474558672 is 276855474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474558673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1433547 + ... + 1433877.

Almost surely, 2474558672 is an apocalyptic number.

474558672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474558672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746952192).

474558672 is an abundant number, since it is smaller than the sum of its proper divisors (1019345712).

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

474558672 is a wasteful number, since it uses less digits than its factorization.

474558672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 474558672 is about 21784.3676061528. The cubic root of 474558672 is about 780.0036554727.

The spelling of 474558672 in words is "four hundred seventy-four million, five hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 251 272 331 336 357 408 476 502 662 714 753 816 952 993 1004 1324 1428 1506 1757 1904 1986 2008 2317 2648 2856 3012 3514 3972 4016 4267 4634 5271 5296 5627 5712 6024 6951 7028 7944 8534 9268 10542 11254 12048 12801 13902 14056 15888 16881 17068 18536 21084 22508 25602 27804 28112 29869 33762 34136 37072 39389 42168 45016 51204 55608 59738 67524 68272 78778 83081 84336 89607 90032 102408 111216 118167 119476 135048 157556 166162 179214 204816 236334 238952 249243 270096 315112 332324 358428 472668 477904 498486 581567 630224 664648 716856 945336 996972 1163134 1329296 1412377 1433712 1744701 1890672 1993944 2326268 2824754 3489402 3987888 4237131 4652536 5649508 6978804 8474262 9305072 9886639 11299016 13957608 16948524 19773278 22598032 27915216 29659917 33897048 39546556 59319834 67794096 79093112 118639668 158186224 237279336 474558672