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44225360 = 2453767223
BaseRepresentation
bin1010100010110…
…1001101010000
310002012212210022
42220231031100
542310202420
64215523012
71044623624
oct250551520
9102185708
1044225360
1122a67193
1212989468
139215b6a
145c33184
153d38c25
hex2a2d350

44225360 has 80 divisors (see below), whose sum is σ = 107659776. Its totient is φ = 16879104.

The previous prime is 44225353. The next prime is 44225383. The reversal of 44225360 is 6352244.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198209 + ... + 198431.

Almost surely, 244225360 is an apocalyptic number.

44225360 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 44225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829888).

44225360 is an abundant number, since it is smaller than the sum of its proper divisors (63434416).

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

44225360 is a wasteful number, since it uses less digits than its factorization.

44225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 44225360 is about 6650.2150341173. The cubic root of 44225360 is about 353.6365341748.

The spelling of 44225360 in words is "forty-four million, two hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 67 74 80 134 148 185 223 268 296 335 370 446 536 592 670 740 892 1072 1115 1340 1480 1784 2230 2479 2680 2960 3568 4460 4958 5360 8251 8920 9916 12395 14941 16502 17840 19832 24790 29882 33004 39664 41255 49580 59764 66008 74705 82510 99160 119528 132016 149410 165020 198320 239056 298820 330040 552817 597640 660080 1105634 1195280 2211268 2764085 4422536 5528170 8845072 11056340 22112680 44225360