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44625420 = 223257107331
BaseRepresentation
bin1010101000111…
…0111000001100
310002222012120100
42222032320030
542411003140
64232251100
71051211160
oct252167014
9102865510
1044625420
112320a814
1212b40a90
139325c98
145cd8ca0
153db7530
hex2a8ee0c

44625420 has 144 divisors (see below), whose sum is σ = 156619008. Its totient is φ = 10074240.

The previous prime is 44625409. The next prime is 44625437. The reversal of 44625420 is 2452644.

It is a super-2 number, since 2×446254202 = 3982856220352800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134655 + ... + 134985.

It is an arithmetic number, because the mean of its divisors is an integer number (1087632).

Almost surely, 244625420 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 44625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309504).

44625420 is an abundant number, since it is smaller than the sum of its proper divisors (111993588).

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

44625420 is a wasteful number, since it uses less digits than its factorization.

44625420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 44625420 is about 6680.2260440796. The cubic root of 44625420 is about 354.6996600138.

The spelling of 44625420 in words is "forty-four million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 331 420 428 535 630 642 662 749 963 993 1070 1260 1284 1324 1498 1605 1655 1926 1986 2140 2247 2317 2979 2996 3210 3310 3745 3852 3972 4494 4634 4815 4965 5958 6420 6620 6741 6951 7490 8988 9268 9630 9930 11235 11585 11916 13482 13902 14895 14980 19260 19860 20853 22470 23170 26964 27804 29790 33705 34755 35417 41706 44940 46340 59580 67410 69510 70834 83412 104265 106251 134820 139020 141668 177085 208530 212502 247919 318753 354170 417060 425004 495838 531255 637506 708340 743757 991676 1062510 1239595 1275012 1487514 1593765 2125020 2231271 2479190 2975028 3187530 3718785 4462542 4958380 6375060 7437570 8925084 11156355 14875140 22312710 44625420