Search a number
-
+
1483025920 = 295797333
BaseRepresentation
bin101100001100101…
…0010111000000000
310211100120112002221
41120121102320000
511014123312140
6403054220424
751515340505
oct13031227000
93740515087
101483025920
116a1147362
123547b4714
131a832b23c
14100d654ac
158a2e514a
hex58652e00

1483025920 has 80 divisors (see below), whose sum is σ = 3601287360. Its totient is φ = 585621504.

The previous prime is 1483025909. The next prime is 1483025941. The reversal of 1483025920 is 295203841.

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

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 7 ways as a sum of consecutive naturals, for example, 198574 + ... + 205906.

It is an arithmetic number, because the mean of its divisors is an integer number (45016092).

Almost surely, 21483025920 is an apocalyptic number.

1483025920 is a gapful number since it is divisible by the number (10) 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 1483025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800643680).

1483025920 is an abundant number, since it is smaller than the sum of its proper divisors (2118261440).

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

1483025920 is an frugal number, since it uses more digits than its factorization.

1483025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1483025920 is about 38510.0755647142. The cubic root of 1483025920 is about 1140.3799697793.

The spelling of 1483025920 in words is "one billion, four hundred eighty-three million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1264 1280 1580 2528 2560 3160 5056 6320 7333 10112 12640 14666 20224 25280 29332 36665 40448 50560 58664 73330 101120 117328 146660 202240 234656 293320 469312 579307 586640 938624 1158614 1173280 1877248 2317228 2346560 2896535 3754496 4634456 4693120 5793070 9268912 9386240 11586140 18537824 18772480 23172280 37075648 46344560 74151296 92689120 148302592 185378240 296605184 370756480 741512960 1483025920