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550119648 = 25313538317
BaseRepresentation
bin100000110010100…
…010100011100000
31102100010222021210
4200302202203200
52111312312043
6130330550120
716426640241
oct4062424340
91370128253
10550119648
1126258a041
12134298340
1389c82ab0
14530c0cc8
1533468633
hex20ca28e0

550119648 has 96 divisors (see below), whose sum is σ = 1584678816. Its totient is φ = 166053888.

The previous prime is 550119641. The next prime is 550119649. The reversal of 550119648 is 846911055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550119641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61986 + ... + 70302.

It is an arithmetic number, because the mean of its divisors is an integer number (16507071).

Almost surely, 2550119648 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 550119648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792339408).

550119648 is an abundant number, since it is smaller than the sum of its proper divisors (1034559168).

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

550119648 is a wasteful number, since it uses less digits than its factorization.

550119648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 550119648 is about 23454.6295643312. The cubic root of 550119648 is about 819.3806785059.

The spelling of 550119648 in words is "five hundred fifty million, one hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8268 8317 11024 16536 16634 22048 24951 33072 33268 49902 66144 66536 99804 108121 133072 199608 216242 266144 324363 399216 432484 440801 648726 798432 864968 881602 1297452 1322403 1729936 1763204 2594904 2644806 3459872 3526408 5189808 5289612 5730413 7052816 10379616 10579224 11460826 14105632 17191239 21158448 22921652 34382478 42316896 45843304 68764956 91686608 137529912 183373216 275059824 550119648