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554242480 = 245114397151
BaseRepresentation
bin100001000010010…
…001000110110000
31102121220102202021
4201002101012300
52113341224410
6130555201224
716506661201
oct4102210660
91377812667
10554242480
11264945640
12135746214
138aa9753c
14538755a8
15339ceeda
hex210911b0

554242480 has 160 divisors (see below), whose sum is σ = 1462906368. Its totient is φ = 193536000.

The previous prime is 554242441. The next prime is 554242487. The reversal of 554242480 is 84242455.

It is not an unprimeable number, because it can be changed into a prime (554242487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3670405 + ... + 3670555.

Almost surely, 2554242480 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 554242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731453184).

554242480 is an abundant number, since it is smaller than the sum of its proper divisors (908663888).

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

554242480 is a wasteful number, since it uses less digits than its factorization.

554242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 554242480 is about 23542.3550223847. The cubic root of 554242480 is about 821.4225159550.

The spelling of 554242480 in words is "five hundred fifty-four million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 97 110 151 172 176 194 215 220 302 344 388 430 440 473 485 604 688 755 776 860 880 946 970 1067 1208 1510 1552 1661 1720 1892 1940 2134 2365 2416 3020 3322 3440 3784 3880 4171 4268 4730 5335 6040 6493 6644 7568 7760 8305 8342 8536 9460 10670 12080 12986 13288 14647 16610 16684 17072 18920 20855 21340 25972 26576 29294 32465 33220 33368 37840 41710 42680 45881 51944 58588 64930 66440 66736 71423 73235 83420 85360 91762 103888 117176 129860 132880 142846 146470 161117 166840 183524 229405 234352 259720 285692 292940 322234 333680 357115 367048 458810 519440 571384 585880 629821 644468 714230 734096 805585 917620 1142768 1171760 1259642 1288936 1428460 1611170 1835240 2519284 2577872 2856920 3149105 3222340 3670480 5038568 5713840 6298210 6444680 6928031 10077136 12596420 12889360 13856062 25192840 27712124 34640155 50385680 55424248 69280310 110848496 138560620 277121240 554242480