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474512880 = 24357127847
BaseRepresentation
bin11100010010000…
…111110111110000
31020001212202022010
4130102013313300
51432433403010
6115030242520
714521202322
oct3422076760
91201782263
10474512880
11223939606
12112ab6440
137740026a
144703d612
152b9d1620
hex1c487df0

474512880 has 80 divisors (see below), whose sum is σ = 1491761664. Its totient is φ = 124750080.

The previous prime is 474512873. The next prime is 474512881. The reversal of 474512880 is 88215474.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474512881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 30963.

Almost surely, 2474512880 is an apocalyptic number.

474512880 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 474512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745880832).

474512880 is an abundant number, since it is smaller than the sum of its proper divisors (1017248784).

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

474512880 is a wasteful number, since it uses less digits than its factorization.

474512880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27934 (or 27928 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 474512880 is about 21783.3165518936. The cubic root of 474512880 is about 779.9785661434.

The spelling of 474512880 in words is "four hundred seventy-four million, five hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 27847 55694 83541 111388 139235 167082 222776 278470 334164 417705 445552 556940 668328 835410 1113880 1336656 1670820 1977137 2227760 3341640 3954274 5931411 6683280 7908548 9885685 11862822 15817096 19771370 23725644 29657055 31634192 39542740 47451288 59314110 79085480 94902576 118628220 158170960 237256440 474512880