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48656790 = 23257132457
BaseRepresentation
bin1011100110011…
…1000110010110
310101120000120100
42321213012112
544424004130
64454514530
71130401350
oct271470626
9111500510
1048656790
1125513626
1214365a46
13a107c00
1466680d0
154411c60
hex2e67196

48656790 has 144 divisors (see below), whose sum is σ = 156899808. Its totient is φ = 10243584.

The previous prime is 48656767. The next prime is 48656801. The reversal of 48656790 is 9765684.

48656790 is a `hidden beast` number, since 4 + 86 + 567 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106242 + ... + 106698.

It is an arithmetic number, because the mean of its divisors is an integer number (1089582).

Almost surely, 248656790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48656790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78449904).

48656790 is an abundant number, since it is smaller than the sum of its proper divisors (108243018).

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

48656790 is a wasteful number, since it uses less digits than its factorization.

48656790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48656790 is about 6975.4419214843. The cubic root of 48656790 is about 365.0742077179.

The spelling of 48656790 in words is "forty-eight million, six hundred fifty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 457 507 546 585 630 819 845 910 914 1014 1170 1183 1365 1371 1521 1638 1690 2285 2366 2535 2730 2742 3042 3199 3549 4095 4113 4570 5070 5915 5941 6398 6855 7098 7605 8190 8226 9597 10647 11830 11882 13710 15210 15995 17745 17823 19194 20565 21294 28791 29705 31990 35490 35646 41130 41587 47985 53235 53469 57582 59410 77233 83174 89115 95970 106470 106938 124761 143955 154466 178230 207935 231699 249522 267345 287910 374283 386165 415870 463398 534690 540631 623805 695097 748566 772330 1081262 1158495 1247610 1390194 1621893 1871415 2316990 2703155 3243786 3475485 3742830 4865679 5406310 6950970 8109465 9731358 16218930 24328395 48656790