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545456040 = 2335231071847
BaseRepresentation
bin100000100000101…
…111111110101000
31102000101001000120
4200200233332220
52104114043130
6130043003240
716342204563
oct4040577650
91360331016
10545456040
1125a994218
12132809520
138900c16c
14526294da
1532d46910
hex2082ffa8

545456040 has 128 divisors (see below), whose sum is σ = 1724405760. Its totient is φ = 137755904.

The previous prime is 545456039. The next prime is 545456057. The reversal of 545456040 is 40654545.

It is a junction number, because it is equal to n+sod(n) for n = 545455992 and 545456010.

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, 294397 + ... + 296243.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2545456040 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 545456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862202880).

545456040 is an abundant number, since it is smaller than the sum of its proper divisors (1178949720).

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

545456040 is a wasteful number, since it uses less digits than its factorization.

545456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 545456040 is about 23355.0003211304. Note that the first 3 decimals coincide. The cubic root of 545456040 is about 817.0586868888.

The spelling of 545456040 in words is "five hundred forty-five million, four hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 107 115 120 138 184 214 230 276 321 345 428 460 535 552 642 690 856 920 1070 1284 1380 1605 1847 2140 2461 2568 2760 3210 3694 4280 4922 5541 6420 7383 7388 9235 9844 11082 12305 12840 14766 14776 18470 19688 22164 24610 27705 29532 36915 36940 42481 44328 49220 55410 59064 73830 73880 84962 98440 110820 127443 147660 169924 197629 212405 221640 254886 295320 339848 395258 424810 509772 592887 637215 790516 849620 988145 1019544 1185774 1274430 1581032 1699240 1976290 2371548 2548860 2964435 3952580 4545467 4743096 5097720 5928870 7905160 9090934 11857740 13636401 18181868 22727335 23715480 27272802 36363736 45454670 54545604 68182005 90909340 109091208 136364010 181818680 272728020 545456040