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1442592704 = 26729373001
BaseRepresentation
bin101010111111100…
…0011011111000000
310201112111022011102
41111333003133000
510423300431304
6355051433532
750514556430
oct12577033700
93645438142
101442592704
11680340283
123431558a8
1319cb42467
14d983c2c0
15869a9d1e
hex55fc37c0

1442592704 has 112 divisors (see below), whose sum is σ = 3477036480. Its totient is φ = 580608000.

The previous prime is 1442592703. The next prime is 1442592709. The reversal of 1442592704 is 4072952441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442592703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479204 + ... + 482204.

Almost surely, 21442592704 is an apocalyptic number.

1442592704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738518240).

1442592704 is an abundant number, since it is smaller than the sum of its proper divisors (2034443776).

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

1442592704 is a wasteful number, since it uses less digits than its factorization.

1442592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 1442592704 is about 37981.4784335734. The cubic root of 1442592704 is about 1129.9205582808.

The spelling of 1442592704 in words is "one billion, four hundred forty-two million, five hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 64 74 112 116 148 203 224 232 259 296 406 448 464 518 592 812 928 1036 1073 1184 1624 1856 2072 2146 2368 3001 3248 4144 4292 6002 6496 7511 8288 8584 12004 12992 15022 16576 17168 21007 24008 30044 34336 42014 48016 60088 68672 84028 87029 96032 111037 120176 168056 174058 192064 222074 240352 336112 348116 444148 480704 609203 672224 696232 777259 888296 1218406 1344448 1392464 1554518 1776592 2436812 2784928 3109036 3220073 3553184 4873624 5569856 6218072 6440146 7106368 9747248 12436144 12880292 19494496 22540511 24872288 25760584 38988992 45081022 49744576 51521168 90162044 103042336 180324088 206084672 360648176 721296352 1442592704