Search a number
-
+
484040848880 = 24573163508489
BaseRepresentation
bin1110000101100110001…
…01010011010111110000
31201021101122020211120102
413002303011103113300
530412303424131010
61010210523131532
746653661221101
oct7026305232760
91637348224512
10484040848880
1117730a493006
1279988373ba8
133684c9978a4
14195db8863a8
15c8cea0aba5
hex70b31535f0

484040848880 has 80 divisors (see below), whose sum is σ = 1147812443040. Its totient is φ = 189792129024.

The previous prime is 484040848871. The next prime is 484040848891. The reversal of 484040848880 is 88848040484.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697676 + ... + 1206164.

It is an arithmetic number, because the mean of its divisors is an integer number (14347655538).

Almost surely, 2484040848880 is an apocalyptic number.

484040848880 is a gapful number since it is divisible by the number (40) 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 484040848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573906221520).

484040848880 is an abundant number, since it is smaller than the sum of its proper divisors (663771594160).

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

484040848880 is a wasteful number, since it uses less digits than its factorization.

484040848880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508738 (or 508732 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 484040848880 in words is "four hundred eighty-four billion, forty million, eight hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 163 292 326 365 584 652 730 815 1168 1304 1460 1630 2608 2920 3260 5840 6520 11899 13040 23798 47596 59495 95192 118990 190384 237980 475960 508489 951920 1016978 2033956 2542445 4067912 5084890 8135824 10169780 20339560 37119697 40679120 74239394 82883707 148478788 165767414 185598485 296957576 331534828 371196970 414418535 593915152 663069656 742393940 828837070 1326139312 1484787880 1657674140 2969575760 3315348280 6050510611 6630696560 12101021222 24202042444 30252553055 48404084888 60505106110 96808169776 121010212220 242020424440 484040848880