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554254480 = 245135231019
BaseRepresentation
bin100001000010010…
…100000010010000
31102121221001012201
4201002110002100
52113342120410
6130555332544
716510041163
oct4102240220
91377831181
10554254480
1126495365a
12135751154
138aa9cb40
1453879ada
15339d383a
hex21094090

554254480 has 80 divisors (see below), whose sum is σ = 1391785920. Its totient is φ = 204056064.

The previous prime is 554254469. The next prime is 554254489. The reversal of 554254480 is 84452455.

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

It is not an unprimeable number, because it can be changed into a prime (554254489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543411 + ... + 544429.

It is an arithmetic number, because the mean of its divisors is an integer number (17397324).

Almost surely, 2554254480 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 554254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695892960).

554254480 is an abundant number, since it is smaller than the sum of its proper divisors (837531440).

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

554254480 is a wasteful number, since it uses less digits than its factorization.

554254480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

The square root of 554254480 is about 23542.6098808097. The cubic root of 554254480 is about 821.4284441660.

The spelling of 554254480 in words is "five hundred fifty-four million, two hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 523 1019 1040 1046 2038 2092 2615 4076 4184 5095 5230 6799 8152 8368 10190 10460 13247 13598 16304 20380 20920 26494 27196 33995 40760 41840 52988 54392 66235 67990 81520 105976 108784 132470 135980 211952 264940 271960 529880 532937 543920 1059760 1065874 2131748 2664685 4263496 5329370 6928181 8526992 10658740 13856362 21317480 27712724 34640905 42634960 55425448 69281810 110850896 138563620 277127240 554254480