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44214192 = 243211103271
BaseRepresentation
bin1010100010101…
…0011110110000
310002012022110200
42220222132300
542304323232
64215355200
71044546231
oct250523660
9102168420
1044214192
1122a59860
1212982b00
139210a59
145c2d088
153d3577c
hex2a2a7b0

44214192 has 120 divisors (see below), whose sum is σ = 136800768. Its totient is φ = 13219200.

The previous prime is 44214179. The next prime is 44214217. The reversal of 44214192 is 29141244.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163017 + ... + 163287.

Almost surely, 244214192 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 44214192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400384).

44214192 is an abundant number, since it is smaller than the sum of its proper divisors (92586576).

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

44214192 is a wasteful number, since it uses less digits than its factorization.

44214192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 44214192 is about 6649.3753090046. The cubic root of 44214192 is about 353.6067643376.

The spelling of 44214192 in words is "forty-four million, two hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 271 309 396 412 528 542 618 792 813 824 927 1084 1133 1236 1584 1626 1648 1854 2168 2266 2439 2472 2981 3252 3399 3708 4336 4532 4878 4944 5962 6504 6798 7416 8943 9064 9756 10197 11924 13008 13596 14832 17886 18128 19512 20394 23848 26829 27192 27913 35772 39024 40788 47696 53658 54384 55826 71544 81576 83739 107316 111652 143088 163152 167478 214632 223304 251217 307043 334956 429264 446608 502434 614086 669912 921129 1004868 1228172 1339824 1842258 2009736 2456344 2763387 3684516 4019472 4912688 5526774 7369032 11053548 14738064 22107096 44214192