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474049680 = 243513151939
BaseRepresentation
bin11100010000010…
…110110010010000
31020001000012220120
4130100112302100
51432324042210
6115012310240
714514233016
oct3420266220
91201005816
10474049680
112236525a5
12112912380
137729a490
1446d5c8b6
152b93e270
hex1c416c90

474049680 has 80 divisors (see below), whose sum is σ = 1582607040. Its totient is φ = 116688384.

The previous prime is 474049669. The next prime is 474049687. The reversal of 474049680 is 86940474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (474049687) 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 15 ways as a sum of consecutive naturals, for example, 72850 + ... + 79089.

It is an arithmetic number, because the mean of its divisors is an integer number (19782588).

Almost surely, 2474049680 is an apocalyptic number.

474049680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474049680 is an abundant number, since it is smaller than the sum of its proper divisors (1108557360).

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

474049680 is a wasteful number, since it uses less digits than its factorization.

474049680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151968 (or 151962 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 474049680 is about 21772.6819661704. The cubic root of 474049680 is about 779.7246891618.

The spelling of 474049680 in words is "four hundred seventy-four million, forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 151939 303878 455817 607756 759695 911634 1215512 1519390 1823268 1975207 2279085 2431024 3038780 3646536 3950414 4558170 5925621 6077560 7293072 7900828 9116340 9876035 11851242 12155120 15801656 18232680 19752070 23702484 29628105 31603312 36465360 39504140 47404968 59256210 79008280 94809936 118512420 158016560 237024840 474049680