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38899920 = 24351091487
BaseRepresentation
bin1001010001100…
…1000011010000
32201012022122210
42110121003100
534424244140
63505432120
7651433563
oct224310320
981168583
1038899920
111aa5a0a4
121103b640
13809cc07
1452484da
153635d80
hex25190d0

38899920 has 80 divisors (see below), whose sum is σ = 121777920. Its totient is φ = 10271232.

The previous prime is 38899891. The next prime is 38899937. The reversal of 38899920 is 2999883.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38899920.

It is a congruent number.

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, 25417 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 238899920 is an apocalyptic number.

38899920 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 38899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888960).

38899920 is an abundant number, since it is smaller than the sum of its proper divisors (82878000).

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

38899920 is a wasteful number, since it uses less digits than its factorization.

38899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 38899920 is about 6236.9800384481. The cubic root of 38899920 is about 338.8308168084.

The spelling of 38899920 in words is "thirty-eight million, eight hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1487 1635 1744 2180 2616 2974 3270 4360 4461 5232 5948 6540 7435 8720 8922 11896 13080 14870 17844 22305 23792 26160 29740 35688 44610 59480 71376 89220 118960 162083 178440 324166 356880 486249 648332 810415 972498 1296664 1620830 1944996 2431245 2593328 3241660 3889992 4862490 6483320 7779984 9724980 12966640 19449960 38899920