Search a number
-
+
472783480 = 2351331139211
BaseRepresentation
bin11100001011100…
…001101001111000
31012221121220000021
4130023201221320
51432013032410
6114525220224
714500410331
oct3413415170
91187556007
10472783480
11222968254
12112401674
1376c46050
1446b0d288
152b78deda
hex1c2e1a78

472783480 has 128 divisors (see below), whose sum is σ = 1196697600. Its totient is φ = 166924800.

The previous prime is 472783477. The next prime is 472783499. The reversal of 472783480 is 84387274.

472783480 = T2392 + T2393 + ... + T2546.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2240575 + ... + 2240785.

It is an arithmetic number, because the mean of its divisors is an integer number (9349200).

Almost surely, 2472783480 is an apocalyptic number.

472783480 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 472783480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598348800).

472783480 is an abundant number, since it is smaller than the sum of its proper divisors (723914120).

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

472783480 is a wasteful number, since it uses less digits than its factorization.

472783480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The square root of 472783480 is about 21743.5848010396. The cubic root of 472783480 is about 779.0298479711.

The spelling of 472783480 in words is "four hundred seventy-two million, seven hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 139 155 211 248 260 278 310 403 422 520 556 620 695 806 844 1055 1112 1240 1390 1612 1688 1807 2015 2110 2743 2780 3224 3614 4030 4220 4309 5486 5560 6541 7228 8060 8440 8618 9035 10972 13082 13715 14456 16120 17236 18070 21545 21944 26164 27430 29329 32705 34472 36140 43090 52328 54860 56017 58658 65410 72280 85033 86180 109720 112034 117316 130820 146645 170066 172360 224068 234632 261640 280085 293290 340132 381277 425165 448136 560170 586580 680264 762554 850330 909199 1120340 1173160 1525108 1700660 1818398 1906385 2240680 3050216 3401320 3636796 3812770 4545995 7273592 7625540 9091990 11819587 15251080 18183980 23639174 36367960 47278348 59097935 94556696 118195870 236391740 472783480