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44142320 = 24519113257
BaseRepresentation
bin1010100001100…
…0111011110000
310002001122212202
42220120323300
542300023240
64214042332
71044126545
oct250307360
9102048782
1044142320
1122a0a862
12129493a8
1391b7121
145c10bcc
153d1e315
hex2a18ef0

44142320 has 80 divisors (see below), whose sum is σ = 109412640. Its totient is φ = 16515072.

The previous prime is 44142317. The next prime is 44142323. The reversal of 44142320 is 2324144.

It is an interprime number because it is at equal distance from previous prime (44142317) and next prime (44142323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44142292 and 44142301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44142323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171632 + ... + 171888.

It is an arithmetic number, because the mean of its divisors is an integer number (1367658).

Almost surely, 244142320 is an apocalyptic number.

44142320 is a gapful number since it is divisible by the number (40) 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 44142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54706320).

44142320 is an abundant number, since it is smaller than the sum of its proper divisors (65270320).

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

44142320 is a wasteful number, since it uses less digits than its factorization.

44142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44142320 is about 6643.9686934843. The cubic root of 44142320 is about 353.4150596127.

Adding to 44142320 its reverse (2324144), we get a palindrome (46466464).

The spelling of 44142320 in words is "forty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 113 152 190 226 257 304 380 452 514 565 760 904 1028 1130 1285 1520 1808 2056 2147 2260 2570 4112 4294 4520 4883 5140 8588 9040 9766 10280 10735 17176 19532 20560 21470 24415 29041 34352 39064 42940 48830 58082 78128 85880 97660 116164 145205 171760 195320 232328 290410 390640 464656 551779 580820 1103558 1161640 2207116 2323280 2758895 4414232 5517790 8828464 11035580 22071160 44142320