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474950432 = 25114093299
BaseRepresentation
bin11100010011110…
…010101100100000
31020002200222111202
4130103302230200
51433041403212
6115043500332
714525004065
oct3423625440
91202628452
10474950432
11224108320
121130876a8
1377524478
1447114c6c
152ba6b0c2
hex1c4f2b20

474950432 has 48 divisors (see below), whose sum is σ = 1022868000. Its totient is φ = 215293440.

The previous prime is 474950431. The next prime is 474950447. The reversal of 474950432 is 234059474.

It is not an unprimeable number, because it can be changed into a prime (474950431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142319 + ... + 145617.

It is an arithmetic number, because the mean of its divisors is an integer number (21309750).

Almost surely, 2474950432 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 474950432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511434000).

474950432 is an abundant number, since it is smaller than the sum of its proper divisors (547917568).

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

474950432 is a wasteful number, since it uses less digits than its factorization.

474950432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 474950432 is about 21793.3575201253. The cubic root of 474950432 is about 780.2182339166.

The spelling of 474950432 in words is "four hundred seventy-four million, nine hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 409 818 1636 3272 3299 4499 6544 6598 8998 13088 13196 17996 26392 35992 36289 52784 71984 72578 105568 143968 145156 290312 580624 1161248 1349291 2698582 5397164 10794328 14842201 21588656 29684402 43177312 59368804 118737608 237475216 474950432