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380548992 = 2731516563
BaseRepresentation
bin10110101011101…
…011011110000000
3222112001220002010
4112223223132000
51234410031432
6101432252520
712300420165
oct2653533600
9875056063
10380548992
111858a00aa
12a7541140
1360ac1025
143878006c
15236203cc
hex16aeb780

380548992 has 64 divisors (see below), whose sum is σ = 1017682560. Its totient is φ = 125990400.

The previous prime is 380548979. The next prime is 380548999. The reversal of 380548992 is 299845083.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380548999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54703 + ... + 61265.

It is an arithmetic number, because the mean of its divisors is an integer number (15901290).

Almost surely, 2380548992 is an apocalyptic number.

380548992 is a gapful number since it is divisible by the number (32) 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 380548992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508841280).

380548992 is an abundant number, since it is smaller than the sum of its proper divisors (637133568).

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

380548992 is a wasteful number, since it uses less digits than its factorization.

380548992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 380548992 is about 19507.6649550888. The cubic root of 380548992 is about 724.6642865844.

The spelling of 380548992 in words is "three hundred eighty million, five hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 6563 7248 9664 13126 14496 19328 19689 26252 28992 39378 52504 57984 78756 105008 157512 210016 315024 420032 630048 840064 991013 1260096 1982026 2520192 2973039 3964052 5946078 7928104 11892156 15856208 23784312 31712416 47568624 63424832 95137248 126849664 190274496 380548992