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48638070 = 23451331149
BaseRepresentation
bin1011100110001…
…0100001110110
310101112001220000
42321202201312
544422404240
64454252130
71130262645
oct271424166
9111461800
1048638070
1125500558
1214357046
13a0cc530
14666135c
15440b430
hex2e62876

48638070 has 160 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 11508480.

The previous prime is 48638069. The next prime is 48638087. The reversal of 48638070 is 7083684.

48638070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326356 + ... + 326504.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 248638070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48638070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

48638070 is an abundant number, since it is smaller than the sum of its proper divisors (97723530).

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

48638070 is a wasteful number, since it uses less digits than its factorization.

48638070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48638070 is about 6974.0999419280. The cubic root of 48638070 is about 365.0273826958.

The spelling of 48638070 in words is "forty-eight million, six hundred thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 81 90 93 117 130 135 149 155 162 186 195 234 270 279 298 310 351 390 403 405 447 465 558 585 702 745 806 810 837 894 930 1053 1170 1209 1341 1395 1490 1674 1755 1937 2015 2106 2235 2418 2511 2682 2790 3510 3627 3874 4023 4030 4185 4470 4619 5022 5265 5811 6045 6705 7254 8046 8370 9238 9685 10530 10881 11622 12069 12090 12555 13410 13857 17433 18135 19370 20115 21762 23095 24138 25110 27714 29055 32643 34866 36270 40230 41571 46190 52299 54405 58110 60047 60345 65286 69285 83142 87165 104598 108810 120094 120690 124713 138570 156897 163215 174330 180141 207855 249426 261495 300235 313794 326430 360282 374139 415710 522990 540423 600470 623565 748278 784485 900705 1080846 1247130 1568970 1621269 1801410 1870695 2702115 3242538 3741390 4863807 5404230 8106345 9727614 16212690 24319035 48638070