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38052480 = 273519819
BaseRepresentation
bin1001000100101…
…0001010000000
32122121021012010
42101022022000
534220134410
63435332520
7641304114
oct221121200
978537163
1038052480
111a530434
12108b1140
137b6427b
1450a7744
153519c20
hex244a280

38052480 has 64 divisors (see below), whose sum is σ = 121298400. Its totient is φ = 10146816.

The previous prime is 38052479. The next prime is 38052481. The reversal of 38052480 is 8425083.

It is an interprime number because it is at equal distance from previous prime (38052479) and next prime (38052481).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (38052481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7990 + ... + 11829.

Almost surely, 238052480 is an apocalyptic number.

38052480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38052480 is an abundant number, since it is smaller than the sum of its proper divisors (83245920).

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

38052480 is a wasteful number, since it uses less digits than its factorization.

38052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19841 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38052480 is about 6168.6692243952. The cubic root of 38052480 is about 336.3522383193.

The spelling of 38052480 in words is "thirty-eight million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 19819 39638 59457 79276 99095 118914 158552 198190 237828 297285 317104 396380 475656 594570 634208 792760 951312 1189140 1268416 1585520 1902624 2378280 2536832 3171040 3805248 4756560 6342080 7610496 9513120 12684160 19026240 38052480