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8474480 = 245737409
BaseRepresentation
bin100000010100…
…111101110000
3120221112210122
4200110331300
54132140410
6501345412
7132013640
oct40247560
916845718
108474480
114869003
122a08268
1319a93b1
1411a8520
15b25e55
hex814f70

8474480 has 80 divisors (see below), whose sum is σ = 23183040. Its totient is φ = 2820096.

The previous prime is 8474461. The next prime is 8474503. The reversal of 8474480 is 844748.

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

It is a super-2 number, since 2×84744802 = 143633622540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8474480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20516 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (289788).

Almost surely, 28474480 is an apocalyptic number.

8474480 is a gapful number since it is divisible by the number (80) 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 8474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591520).

8474480 is an abundant number, since it is smaller than the sum of its proper divisors (14708560).

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

8474480 is a wasteful number, since it uses less digits than its factorization.

8474480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 8474480 is about 2911.0960135317. The cubic root of 8474480 is about 203.8783075312.

The spelling of 8474480 in words is "eight million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 409 518 560 592 740 818 1036 1295 1480 1636 2045 2072 2590 2863 2960 3272 4090 4144 5180 5726 6544 8180 10360 11452 14315 15133 16360 20720 22904 28630 30266 32720 45808 57260 60532 75665 105931 114520 121064 151330 211862 229040 242128 302660 423724 529655 605320 847448 1059310 1210640 1694896 2118620 4237240 8474480