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2442555324 = 2238118461
BaseRepresentation
bin1001000110010110…
…0110111110111100
320022020002200000000
42101211212332330
520000243232244
61042212234300
7114346243356
oct22145467674
96266080000
102442555324
111043838a70
1258200b990
132cc068611
1419257a0d6
15e4680169
hex91966fbc

2442555324 has 108 divisors (see below), whose sum is σ = 6995061528. Its totient is φ = 740080800.

The previous prime is 2442555319. The next prime is 2442555331. The reversal of 2442555324 is 4235552442.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284454 + ... + 292914.

Almost surely, 22442555324 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 2442555324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497530764).

2442555324 is an abundant number, since it is smaller than the sum of its proper divisors (4552506204).

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

2442555324 is an equidigital number, since it uses as much as digits as its factorization.

2442555324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8477 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 2442555324 is about 49422.2148835926. The cubic root of 2442555324 is about 1346.7328997530.

The spelling of 2442555324 in words is "two billion, four hundred forty-two million, five hundred fifty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 6561 8019 8461 8748 10692 13122 16038 16922 24057 25383 26244 32076 33844 48114 50766 72171 76149 93071 96228 101532 144342 152298 186142 228447 279213 288684 304596 372284 456894 558426 685341 837639 913788 1116852 1370682 1675278 2056023 2512917 2741364 3350556 4112046 5025834 6168069 7538751 8224092 10051668 12336138 15077502 18504207 22616253 24672276 30155004 37008414 45232506 55512621 67848759 74016828 90465012 111025242 135697518 203546277 222050484 271395036 407092554 610638831 814185108 1221277662 2442555324