Search a number
-
+
469574040 = 2335132411249
BaseRepresentation
bin11011111111010…
…010000110011000
31012201120211111010
4123333102012120
51430202332130
6114332333520
714431212345
oct3377220630
91181524433
10469574040
11221075a21
121113142a0
1376391280
14465157cc
152b3580b0
hex1bfd2198

469574040 has 128 divisors (see below), whose sum is σ = 1524600000. Its totient is φ = 115015680.

The previous prime is 469574023. The next prime is 469574041. The reversal of 469574040 is 40475964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 469574040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469574041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375336 + ... + 376584.

Almost surely, 2469574040 is an apocalyptic number.

469574040 is a gapful number since it is divisible by the number (40) 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 469574040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762300000).

469574040 is an abundant number, since it is smaller than the sum of its proper divisors (1055025960).

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

469574040 is a wasteful number, since it uses less digits than its factorization.

469574040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 469574040 is about 21669.6571269598. The cubic root of 469574040 is about 777.2630571436.

The spelling of 469574040 in words is "four hundred sixty-nine million, five hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 241 260 312 390 482 520 723 780 964 1205 1249 1446 1560 1928 2410 2498 2892 3133 3615 3747 4820 4996 5784 6245 6266 7230 7494 9399 9640 9992 12490 12532 14460 14988 15665 16237 18735 18798 24980 25064 28920 29976 31330 32474 37470 37596 46995 48711 49960 62660 64948 74940 75192 81185 93990 97422 125320 129896 149880 162370 187980 194844 243555 301009 324740 375960 389688 487110 602018 649480 903027 974220 1204036 1505045 1806054 1948440 2408072 3010090 3612108 3913117 4515135 6020180 7224216 7826234 9030270 11739351 12040360 15652468 18060540 19565585 23478702 31304936 36121080 39131170 46957404 58696755 78262340 93914808 117393510 156524680 234787020 469574040