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38480484 = 223739349
BaseRepresentation
bin1001001011001…
…0101001100100
32200102000022010
42102302221210
534322333414
63452434220
7645036000
oct222625144
980360263
1038480484
111a7a2a59
1210a78970
137c84023
145179700
1535a1959
hex24b2a64

38480484 has 48 divisors (see below), whose sum is σ = 104720000. Its totient is φ = 10993248.

The previous prime is 38480483. The next prime is 38480501. The reversal of 38480484 is 48408483.

It is not an unprimeable number, because it can be changed into a prime (38480483) 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 15 ways as a sum of consecutive naturals, for example, 559 + ... + 8790.

Almost surely, 238480484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38480484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52360000).

38480484 is an abundant number, since it is smaller than the sum of its proper divisors (66239516).

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

38480484 is a wasteful number, since it uses less digits than its factorization.

38480484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 38480484 is about 6203.2639795514. The cubic root of 38480484 is about 337.6086059253.

The spelling of 38480484 in words is "thirty-eight million, four hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 9349 18698 28047 37396 56094 65443 112188 130886 196329 261772 392658 458101 785316 916202 1374303 1832404 2748606 3206707 5497212 6413414 9620121 12826828 19240242 38480484