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45721620 = 223257131277
BaseRepresentation
bin1010111001101…
…0100000010100
310012000220021100
42232122200110
543201042440
64311550100
71063425120
oct256324024
9105026240
1045721620
112389936a
121338b330
13961ac19
146102580
154032230
hex2b9a814

45721620 has 144 divisors (see below), whose sum is σ = 160288128. Its totient is φ = 10333440.

The previous prime is 45721583. The next prime is 45721639. The reversal of 45721620 is 2612754.

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 47 ways as a sum of consecutive naturals, for example, 164922 + ... + 165198.

It is an arithmetic number, because the mean of its divisors is an integer number (1113112).

Almost surely, 245721620 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 45721620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80144064).

45721620 is an abundant number, since it is smaller than the sum of its proper divisors (114566508).

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

45721620 is a wasteful number, since it uses less digits than its factorization.

45721620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45721620 is about 6761.7763938184. The cubic root of 45721620 is about 357.5805351025.

The spelling of 45721620 in words is "forty-five million, seven hundred twenty-one thousand, six 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 90 105 126 131 140 180 210 252 262 277 315 393 420 524 554 630 655 786 831 917 1108 1179 1260 1310 1385 1572 1662 1834 1939 1965 2358 2493 2620 2751 2770 3324 3668 3878 3930 4155 4585 4716 4986 5502 5540 5817 5895 7756 7860 8253 8310 9170 9695 9972 11004 11634 11790 12465 13755 16506 16620 17451 18340 19390 23268 23580 24930 27510 29085 33012 34902 36287 38780 41265 49860 55020 58170 69804 72574 82530 87255 108861 116340 145148 165060 174510 181435 217722 254009 326583 349020 362870 435444 508018 544305 653166 725740 762027 1016036 1088610 1270045 1306332 1524054 1632915 2177220 2286081 2540090 3048108 3265830 3810135 4572162 5080180 6531660 7620270 9144324 11430405 15240540 22860810 45721620