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487355040 = 253251073163
BaseRepresentation
bin11101000011000…
…111001010100000
31020222001012102200
4131003013022200
51444230330130
6120205413200
715035310114
oct3503071240
91228035380
10487355040
11230110067
1211726a200
1379c78683
1448a23744
152cbbb760
hex1d0c72a0

487355040 has 144 divisors (see below), whose sum is σ = 1679172768. Its totient is φ = 128706048.

The previous prime is 487355017. The next prime is 487355059. The reversal of 487355040 is 40553784.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 487354986 and 487355004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152499 + ... + 155661.

It is an arithmetic number, because the mean of its divisors is an integer number (11660922).

Almost surely, 2487355040 is an apocalyptic number.

487355040 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 487355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839586384).

487355040 is an abundant number, since it is smaller than the sum of its proper divisors (1191817728).

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

487355040 is a wasteful number, since it uses less digits than its factorization.

487355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 487355040 is about 22076.1192241752. The cubic root of 487355040 is about 786.9524417378.

The spelling of 487355040 in words is "four hundred eighty-seven million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3163 3210 3424 3852 4280 4815 5136 6326 6420 7704 8560 9489 9630 10272 12652 12840 15408 15815 17120 18978 19260 25304 25680 28467 30816 31630 37956 38520 47445 50608 51360 56934 63260 75912 77040 94890 101216 113868 126520 142335 151824 154080 189780 227736 253040 284670 303648 338441 379560 455472 506080 569340 676882 759120 910944 1015323 1138680 1353764 1518240 1692205 2030646 2277360 2707528 3045969 3384410 4061292 4554720 5076615 5415056 6091938 6768820 8122584 10153230 10830112 12183876 13537640 15229845 16245168 20306460 24367752 27075280 30459690 32490336 40612920 48735504 54150560 60919380 81225840 97471008 121838760 162451680 243677520 487355040