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874428480 = 26335101207
BaseRepresentation
bin110100000111101…
…011100001000000
32020221101120101000
4310013223201000
53242323202410
6222434012000
730445343112
oct6407534100
92227346330
10874428480
11409657072
12204a17000
1310c212303
14841c13b2
1551b79dc0
hex341eb840

874428480 has 112 divisors (see below), whose sum is σ = 3084819840. Its totient is φ = 233178624.

The previous prime is 874428479. The next prime is 874428497. The reversal of 874428480 is 84824478.

It is a happy number.

It is a super-2 number, since 2×8744284802 = 1529250333270220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41964 + ... + 59243.

Almost surely, 2874428480 is an apocalyptic number.

874428480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

874428480 is an abundant number, since it is smaller than the sum of its proper divisors (2210391360).

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

874428480 is a wasteful number, since it uses less digits than its factorization.

874428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101233 (or 101217 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 874428480 is about 29570.7368863206. The cubic root of 874428480 is about 956.2573025202.

The spelling of 874428480 in words is "eight hundred seventy-four million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 101207 202414 303621 404828 506035 607242 809656 910863 1012070 1214484 1518105 1619312 1821726 2024140 2428968 2732589 3036210 3238624 3643452 4048280 4554315 4857936 5465178 6072420 6477248 7286904 8096560 9108630 9715872 10930356 12144840 13662945 14573808 16193120 18217260 19431744 21860712 24289680 27325890 29147616 32386240 36434520 43721424 48579360 54651780 58295232 72869040 87442848 97158720 109303560 145738080 174885696 218607120 291476160 437214240 874428480