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38520480 = 253580251
BaseRepresentation
bin1001001011110…
…0011010100000
32200111001011110
42102330122200
534330123410
63453343320
7645263415
oct222743240
980431143
1038520480
111a820009
1210a97b40
137c992ab
14518a10c
1535ad720
hex24bc6a0

38520480 has 48 divisors (see below), whose sum is σ = 121341024. Its totient is φ = 10272000.

The previous prime is 38520437. The next prime is 38520481. The reversal of 38520480 is 8402583.

It is a tau number, because it is divible by the number of its divisors (48).

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 (38520481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39646 + ... + 40605.

It is an arithmetic number, because the mean of its divisors is an integer number (2527938).

Almost surely, 238520480 is an apocalyptic number.

38520480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38520480 is an abundant number, since it is smaller than the sum of its proper divisors (82820544).

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

38520480 is a wasteful number, since it uses less digits than its factorization.

38520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80269 (or 80261 counting only the distinct ones).

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

The square root of 38520480 is about 6206.4869290123. The cubic root of 38520480 is about 337.7255337532.

The spelling of 38520480 in words is "thirty-eight million, five hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 80251 160502 240753 321004 401255 481506 642008 802510 963012 1203765 1284016 1605020 1926024 2407530 2568032 3210040 3852048 4815060 6420080 7704096 9630120 12840160 19260240 38520480