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38472480 = 2532526717
BaseRepresentation
bin1001001011000…
…0101100100000
32200101121022200
42102300230200
534322104410
63452333200
7645003444
oct222605440
980347280
1038472480
111a797a42
1210a74200
137c804a7
145176824
15359e3c0
hex24b0b20

38472480 has 72 divisors (see below), whose sum is σ = 131292252. Its totient is φ = 10258944.

The previous prime is 38472449. The next prime is 38472481. The reversal of 38472480 is 8427483.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 2039184 = 6036^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38472481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11919 + ... + 14798.

Almost surely, 238472480 is an apocalyptic number.

38472480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38472480 is an abundant number, since it is smaller than the sum of its proper divisors (92819772).

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

38472480 is a wasteful number, since it uses less digits than its factorization.

38472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26727 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38472480 is about 6202.6188017643. The cubic root of 38472480 is about 337.5851965986.

The spelling of 38472480 in words is "thirty-eight million, four hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 26717 53434 80151 106868 133585 160302 213736 240453 267170 320604 400755 427472 480906 534340 641208 801510 854944 961812 1068680 1202265 1282416 1603020 1923624 2137360 2404530 2564832 3206040 3847248 4274720 4809060 6412080 7694496 9618120 12824160 19236240 38472480