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48364470 = 23257211997
BaseRepresentation
bin1011100001111…
…1101110110110
310101000011120200
42320133232312
544340130340
64444341330
71125043200
oct270375666
9111004520
1048364470
1125333a40
1214244846
13a034b3b
1465cd770
1543a5330
hex2e1fbb6

48364470 has 144 divisors (see below), whose sum is σ = 159735888. Its totient is φ = 10039680.

The previous prime is 48364453. The next prime is 48364501. The reversal of 48364470 is 7446384.

48364470 is a `hidden beast` number, since 4 + 8 + 3 + 644 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48012 + ... + 49008.

It is an arithmetic number, because the mean of its divisors is an integer number (1109277).

Almost surely, 248364470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48364470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79867944).

48364470 is an abundant number, since it is smaller than the sum of its proper divisors (111371418).

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

48364470 is a wasteful number, since it uses less digits than its factorization.

48364470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48364470 is about 6954.4568443553. The cubic root of 48364470 is about 364.3416417675.

The spelling of 48364470 in words is "forty-eight million, three hundred sixty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 997 1078 1155 1386 1470 1617 1994 2205 2310 2695 2991 3234 3465 4410 4851 4985 5390 5982 6930 6979 8085 8973 9702 9970 10967 13958 14955 16170 17946 20937 21934 24255 29910 32901 34895 41874 44865 48510 48853 54835 62811 65802 69790 76769 89730 97706 98703 104685 109670 125622 146559 153538 164505 197406 209370 230307 244265 293118 314055 329010 383845 439677 460614 488530 493515 537383 628110 690921 732795 767690 879354 987030 1074766 1151535 1381842 1465590 1612149 2198385 2303070 2686915 3224298 3454605 4396770 4836447 5373830 6909210 8060745 9672894 16121490 24182235 48364470