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2442402432 = 273216313007
BaseRepresentation
bin1001000110010100…
…0001101010000000
320022012210220021100
42101211001222000
520000223334212
61042205054400
7114345035541
oct22145015200
96265726240
102442402432
111043744108
12581b57400
132cc013b52
1419253a4c8
15e464ebdc
hex91941a80

2442402432 has 96 divisors (see below), whose sum is σ = 7071929280. Its totient is φ = 809077248.

The previous prime is 2442402337. The next prime is 2442402491. The reversal of 2442402432 is 2342042442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2442402396 and 2442402405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181273 + ... + 194279.

It is an arithmetic number, because the mean of its divisors is an integer number (73665930).

Almost surely, 22442402432 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 2442402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535964640).

2442402432 is an abundant number, since it is smaller than the sum of its proper divisors (4629526848).

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

2442402432 is a wasteful number, since it uses less digits than its factorization.

2442402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13190 (or 13175 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2442402432 is about 49420.6680650920. The cubic root of 2442402432 is about 1346.7047995389.

Adding to 2442402432 its reverse (2342042442), we get a palindrome (4784444874).

The spelling of 2442402432 in words is "two billion, four hundred forty-two million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 288 326 384 489 576 652 978 1152 1304 1467 1956 2608 2934 3912 5216 5868 7824 10432 11736 13007 15648 20864 23472 26014 31296 39021 46944 52028 62592 78042 93888 104056 117063 156084 187776 208112 234126 312168 416224 468252 624336 832448 936504 1248672 1664896 1873008 2120141 2497344 3746016 4240282 4994688 6360423 7492032 8480564 12720846 14984064 16961128 19081269 25441692 33922256 38162538 50883384 67844512 76325076 101766768 135689024 152650152 203533536 271378048 305300304 407067072 610600608 814134144 1221201216 2442402432