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38472240 = 2435315171
BaseRepresentation
bin1001001011000…
…0101000110000
32200101120222210
42102300220300
534322102430
63452332120
7645002652
oct222605060
980346883
1038472240
111a797844
1210a74040
137c80351
1451766d2
15359e2b0
hex24b0a30

38472240 has 80 divisors (see below), whose sum is σ = 123134976. Its totient is φ = 9926400.

The previous prime is 38472221. The next prime is 38472277. The reversal of 38472240 is 4227483.

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

It is a super-2 number, since 2×384722402 = 2960226501235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38472198 and 38472207.

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, 4855 + ... + 10025.

Almost surely, 238472240 is an apocalyptic number.

38472240 is a gapful number since it is divisible by the number (30) 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 38472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61567488).

38472240 is an abundant number, since it is smaller than the sum of its proper divisors (84662736).

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

38472240 is a wasteful number, since it uses less digits than its factorization.

38472240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 38472240 is about 6202.5994550672. The cubic root of 38472240 is about 337.5844946197.

The spelling of 38472240 in words is "thirty-eight million, four hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 5171 7440 10342 15513 20684 25855 31026 41368 51710 62052 77565 82736 103420 124104 155130 160301 206840 248208 310260 320602 413680 480903 620520 641204 801505 961806 1241040 1282408 1603010 1923612 2404515 2564816 3206020 3847224 4809030 6412040 7694448 9618060 12824080 19236120 38472240