Search a number
-
+
472669440 = 2835123091
BaseRepresentation
bin11100001011000…
…101110100000000
31012221102002120120
4130023011310000
51432000410230
6114522540240
714466424005
oct3413056400
91187362516
10472669440
1122289a601
12112367680
1376c06179
1446abd8ac
152b76a310
hex1c2c5d00

472669440 has 72 divisors (see below), whose sum is σ = 1509600288. Its totient is φ = 126044160.

The previous prime is 472669433. The next prime is 472669447. The reversal of 472669440 is 44966274.

It is an interprime number because it is at equal distance from previous prime (472669433) and next prime (472669447).

It is a junction number, because it is equal to n+sod(n) for n = 472669392 and 472669401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472669447) 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 7 ways as a sum of consecutive naturals, for example, 57706 + ... + 65385.

Almost surely, 2472669440 is an apocalyptic number.

472669440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472669440 is an abundant number, since it is smaller than the sum of its proper divisors (1036930848).

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

472669440 is a wasteful number, since it uses less digits than its factorization.

472669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123115 (or 123101 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 472669440 is about 21740.9622602129. The cubic root of 472669440 is about 778.9672063944.

The spelling of 472669440 in words is "four hundred seventy-two million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 123091 246182 369273 492364 615455 738546 984728 1230910 1477092 1846365 1969456 2461820 2954184 3692730 3938912 4923640 5908368 7385460 7877824 9847280 11816736 14770920 15755648 19694560 23633472 29541840 31511296 39389120 47266944 59083680 78778240 94533888 118167360 157556480 236334720 472669440