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38967480 = 2335519211
BaseRepresentation
bin1001010010100…
…1100010111000
32201022202100000
42110221202320
534433424410
63511113000
7652134546
oct224514270
981282300
1038967480
111aaa5932
1211072760
1380c48a6
145264d96
15364adc0
hex25298b8

38967480 has 192 divisors, whose sum is σ = 138902400. Its totient is φ = 9797760.

The previous prime is 38967457. The next prime is 38967541. The reversal of 38967480 is 8476983.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 184575 + ... + 184785.

It is an arithmetic number, because the mean of its divisors is an integer number (723450).

Almost surely, 238967480 is an apocalyptic number.

38967480 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 38967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69451200).

38967480 is an abundant number, since it is smaller than the sum of its proper divisors (99934920).

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

38967480 is a wasteful number, since it uses less digits than its factorization.

38967480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38967480 is about 6242.3937716232. The cubic root of 38967480 is about 339.0268598030.

The spelling of 38967480 in words is "thirty-eight million, nine hundred sixty-seven thousand, four hundred eighty".