Search a number
-
+
477989640 = 233351572819
BaseRepresentation
bin11100011111011…
…000101100001000
31020022102101112000
4130133120230020
51434331132030
6115232551000
714562562542
oct3437305410
91208371460
10477989640
112258a3767
121140b2460
137804990b
14476a6692
152be6b860
hex1c7d8b08

477989640 has 128 divisors (see below), whose sum is σ = 1604016000. Its totient is φ = 126607104.

The previous prime is 477989627. The next prime is 477989641. The reversal of 477989640 is 46989774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (477989641) 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, 168151 + ... + 170969.

It is an arithmetic number, because the mean of its divisors is an integer number (12531375).

Almost surely, 2477989640 is an apocalyptic number.

477989640 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 477989640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802008000).

477989640 is an abundant number, since it is smaller than the sum of its proper divisors (1126026360).

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

477989640 is a wasteful number, since it uses less digits than its factorization.

477989640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 477989640 is about 21862.9741801064. The cubic root of 477989640 is about 781.8789023263.

The spelling of 477989640 in words is "four hundred seventy-seven million, nine hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2819 2826 3140 3768 4239 4710 5638 5652 6280 7065 8457 8478 9420 11276 11304 14095 14130 16914 16956 18840 21195 22552 25371 28190 28260 33828 33912 42285 42390 50742 56380 56520 67656 76113 84570 84780 101484 112760 126855 152226 169140 169560 202968 253710 304452 338280 380565 442583 507420 608904 761130 885166 1014840 1327749 1522260 1770332 2212915 2655498 3044520 3540664 3983247 4425830 5310996 6638745 7966494 8851660 10621992 11949741 13277490 15932988 17703320 19916235 23899482 26554980 31865976 39832470 47798964 53109960 59748705 79664940 95597928 119497410 159329880 238994820 477989640