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2442496572 = 2233311315569
BaseRepresentation
bin1001000110010101…
…1000101000111100
320022012222200102000
42101211120220330
520000234342242
61042211102300
7114345610155
oct22145305074
96265880360
102442496572
1110437a890a
12581ba1990
132cc047959
1419256292c
15e466ca4c
hex91958a3c

2442496572 has 96 divisors (see below), whose sum is σ = 6587750400. Its totient is φ = 781747200.

The previous prime is 2442496559. The next prime is 2442496579. The reversal of 2442496572 is 2756942442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442496579) 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, 435804 + ... + 441372.

It is an arithmetic number, because the mean of its divisors is an integer number (68622400).

Almost surely, 22442496572 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 2442496572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293875200).

2442496572 is an abundant number, since it is smaller than the sum of its proper divisors (4145253828).

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

2442496572 is a wasteful number, since it uses less digits than its factorization.

2442496572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2442496572 is about 49421.6204914408. The cubic root of 2442496572 is about 1346.7221017873.

The spelling of 2442496572 in words is "two billion, four hundred forty-two million, four hundred ninety-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 131 186 262 279 372 393 524 558 786 837 1116 1179 1572 1674 2358 3348 3537 4061 4716 5569 7074 8122 11138 12183 14148 16244 16707 22276 24366 33414 36549 48732 50121 66828 73098 100242 109647 146196 150363 172639 200484 219294 300726 345278 438588 517917 601452 690556 729539 1035834 1459078 1553751 2071668 2188617 2918156 3107502 4377234 4661253 6215004 6565851 8754468 9322506 13131702 18645012 19697553 22615709 26263404 39395106 45231418 67847127 78790212 90462836 135694254 203541381 271388508 407082762 610624143 814165524 1221248286 2442496572