Search a number
-
+
472759434 = 232723374409
BaseRepresentation
bin11100001011011…
…011110010001010
31012221120200000200
4130023123302022
51432011300214
6114524513030
714500250250
oct3413336212
91187520020
10472759434
11222951184
121123ab776
1376c38114
1446b045d0
152b786d09
hex1c2dbc8a

472759434 has 96 divisors (see below), whose sum is σ = 1254839040. Its totient is φ = 125680896.

The previous prime is 472759423. The next prime is 472759453. The reversal of 472759434 is 434957274.

472759434 is a `hidden beast` number, since 4 + 7 + 27 + 594 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 472759434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105022 + ... + 109430.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2472759434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472759434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

472759434 is an abundant number, since it is smaller than the sum of its proper divisors (782079606).

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

472759434 is a wasteful number, since it uses less digits than its factorization.

472759434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4481 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 472759434 is about 21743.0318493075. The cubic root of 472759434 is about 779.0166404670.

The spelling of 472759434 in words is "four hundred seventy-two million, seven hundred fifty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 63 69 74 111 126 138 161 207 222 259 322 333 414 483 518 666 777 851 966 1449 1554 1702 2331 2553 2898 4409 4662 5106 5957 7659 8818 11914 13227 15318 17871 26454 30863 35742 39681 53613 61726 79362 92589 101407 107226 163133 185178 202814 277767 304221 326266 489399 555534 608442 709849 912663 978798 1141931 1419698 1468197 1825326 2129547 2283862 2936394 3425793 3752059 4259094 6388641 6851586 7504118 10277379 11256177 12777282 20554758 22512354 26264413 33768531 52528826 67537062 78793239 157586478 236379717 472759434