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45272508240 = 24351729337871
BaseRepresentation
bin101010001010011100…
…111010011101010000
311022212010012201002110
4222022130322131100
51220204230230430
632444202545320
73161615653641
oct521234723520
9138763181073
1045272508240
1118222172573
128935808240
13436650481b
1422969276c8
15129e81b7b0
hexa8a73a750

45272508240 has 160 divisors (see below), whose sum is σ = 149111456256. Its totient is φ = 11323432960.

The previous prime is 45272508209. The next prime is 45272508241. The reversal of 45272508240 is 4280527254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45272508241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176505 + ... + 1214375.

Almost surely, 245272508240 is an apocalyptic number.

45272508240 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 45272508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74555728128).

45272508240 is an abundant number, since it is smaller than the sum of its proper divisors (103838948016).

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

45272508240 is a wasteful number, since it uses less digits than its factorization.

45272508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38197 (or 38191 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 45272508240 in words is "forty-five billion, two hundred seventy-two million, five hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 293 340 408 510 586 680 816 879 1020 1172 1360 1465 1758 2040 2344 2930 3516 4080 4395 4688 4981 5860 7032 8790 9962 11720 14064 14943 17580 19924 23440 24905 29886 35160 37871 39848 49810 59772 70320 74715 75742 79696 99620 113613 119544 149430 151484 189355 199240 227226 239088 298860 302968 378710 398480 454452 568065 597720 605936 643807 757420 908904 1136130 1195440 1287614 1514840 1817808 1931421 2272260 2575228 3029680 3219035 3862842 4544520 5150456 6438070 7725684 9089040 9657105 10300912 11096203 12876140 15451368 19314210 22192406 25752280 30902736 33288609 38628420 44384812 51504560 55481015 66577218 77256840 88769624 110962030 133154436 154513680 166443045 177539248 188635451 221924060 266308872 332886090 377270902 443848120 532617744 565906353 665772180 754541804 887696240 943177255 1131812706 1331544360 1509083608 1886354510 2263625412 2663088720 2829531765 3018167216 3772709020 4527250824 5659063530 7545418040 9054501648 11318127060 15090836080 22636254120 45272508240