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48566040 = 23354779109
BaseRepresentation
bin1011100101000…
…0111100011000
310101101102002020
42321100330120
544413103130
64452534440
71126542645
oct271207430
9111342066
1048566040
1125461426
1214321420
13a0a5803
146642dcc
1543e4e10
hex2e50f18

48566040 has 128 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 12400128.

The previous prime is 48566009. The next prime is 48566047. The reversal of 48566040 is 4066584.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 48565992 and 48566010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48566047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445506 + ... + 445614.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 248566040 is an apocalyptic number.

48566040 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 48566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

48566040 is an abundant number, since it is smaller than the sum of its proper divisors (103497960).

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

48566040 is a wasteful number, since it uses less digits than its factorization.

48566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 48566040 is about 6968.9339213398. The cubic root of 48566040 is about 364.8470992781.

The spelling of 48566040 in words is "forty-eight million, five hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 79 94 109 120 141 158 188 218 235 237 282 316 327 376 395 436 470 474 545 564 632 654 705 790 872 940 948 1090 1128 1185 1308 1410 1580 1635 1880 1896 2180 2370 2616 2820 3160 3270 3713 4360 4740 5123 5640 6540 7426 8611 9480 10246 11139 13080 14852 15369 17222 18565 20492 22278 25615 25833 29704 30738 34444 37130 40984 43055 44556 51230 51666 55695 61476 68888 74260 76845 86110 89112 102460 103332 111390 122952 129165 148520 153690 172220 204920 206664 222780 258330 307380 344440 404717 445560 516660 614760 809434 1033320 1214151 1618868 2023585 2428302 3237736 4047170 4856604 6070755 8094340 9713208 12141510 16188680 24283020 48566040