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2442552024 = 2331147196853
BaseRepresentation
bin1001000110010110…
…0110001011011000
320022020002111110210
42101211212023120
520000243131044
61042212211120
7114346230633
oct22145461330
96266074423
102442552024
111043836540
12582009aa0
132cc066c73
14192578c1a
15e467e1b9
hex919662d8

2442552024 has 64 divisors (see below), whose sum is σ = 6803274240. Its totient is φ = 724415360.

The previous prime is 2442552001. The next prime is 2442552109. The reversal of 2442552024 is 4202552442.

It is a super-3 number, since 3×24425520243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442551982 and 2442552000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86019 + ... + 110834.

It is an arithmetic number, because the mean of its divisors is an integer number (106301160).

Almost surely, 22442552024 is an apocalyptic number.

2442552024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442552024 is an abundant number, since it is smaller than the sum of its proper divisors (4360722216).

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

2442552024 is a wasteful number, since it uses less digits than its factorization.

2442552024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196920 (or 196916 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2442552024 is about 49422.1814977850. The cubic root of 2442552024 is about 1346.7322932542.

The spelling of 2442552024 in words is "two billion, four hundred forty-two million, five hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 196853 393706 590559 787412 1181118 1574824 2165383 2362236 4330766 4724472 6496149 8661532 9252091 12992298 17323064 18504182 25984596 27756273 37008364 51969192 55512546 74016728 101773001 111025092 203546002 222050184 305319003 407092004 610638006 814184008 1221276012 2442552024