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1448472840 = 233523836323
BaseRepresentation
bin101011001010101…
…1111000100001000
310201221120001012020
41112111133010020
510431302112330
6355421444440
750615546613
oct12625370410
93657501166
101448472840
116836970a1
12345110720
131a1120a29
14da52d17a
158726c210
hex5655f108

1448472840 has 128 divisors (see below), whose sum is σ = 4589706240. Its totient is φ = 364956416.

The previous prime is 1448472793. The next prime is 1448472869. The reversal of 1448472840 is 482748441.

It is a junction number, because it is equal to n+sod(n) for n = 1448472792 and 1448472801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225919 + ... + 232241.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080).

Almost surely, 21448472840 is an apocalyptic number.

1448472840 is a gapful number since it is divisible by the number (10) 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 1448472840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

1448472840 is an abundant number, since it is smaller than the sum of its proper divisors (3141233400).

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

1448472840 is a wasteful number, since it uses less digits than its factorization.

1448472840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The square root of 1448472840 is about 38058.8076534197. The cubic root of 1448472840 is about 1131.4536959490.

The spelling of 1448472840 in words is "one billion, four hundred forty-eight million, four hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 6323 7636 9545 9960 11454 12646 15272 18969 19090 22908 25292 28635 31615 37938 38180 45816 50584 57270 63230 75876 76360 94845 114540 126460 145429 151752 189690 229080 252920 290858 379380 436287 524809 581716 727145 758760 872574 1049618 1163432 1454290 1574427 1745148 2099236 2181435 2624045 2908580 3148854 3490296 4198472 4362870 5248090 5817160 6297708 7872135 8725740 10496180 12070607 12595416 15744270 17451480 20992360 24141214 31488540 36211821 48282428 60353035 62977080 72423642 96564856 120706070 144847284 181059105 241412140 289694568 362118210 482824280 724236420 1448472840