Search a number
-
+
490948992 = 2733142057
BaseRepresentation
bin11101010000110…
…100100110000000
31021012210210102000
4131100310212000
52001140331432
6120414424000
715110666112
oct3520644600
91235723360
10490948992
11232145276
12118502000
137a936481
14492bb3b2
152d17b57c
hex1d434980

490948992 has 64 divisors (see below), whose sum is σ = 1448991600. Its totient is φ = 163648512.

The previous prime is 490948979. The next prime is 490948993. The reversal of 490948992 is 299849094.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490948993) 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 7 ways as a sum of consecutive naturals, for example, 67573 + ... + 74484.

Almost surely, 2490948992 is an apocalyptic number.

It is an amenable number.

490948992 is an abundant number, since it is smaller than the sum of its proper divisors (958042608).

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

490948992 is a wasteful number, since it uses less digits than its factorization.

490948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142080 (or 142062 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 490948992 is about 22157.3687968585. The cubic root of 490948992 is about 788.8821405875.

The spelling of 490948992 in words is "four hundred ninety million, nine hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 3409368 3835539 4545824 5114052 6818736 7671078 9091648 10228104 13637472 15342156 18183296 20456208 27274944 30684312 40912416 54549888 61368624 81824832 122737248 163649664 245474496 490948992