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48807528 = 23375112
BaseRepresentation
bin1011101000101…
…1111001101000
310101211200100020
42322023321220
544443320103
64502040440
71131600000
oct272137150
9111750306
1048807528
1125606900
1214419120
13a15b6c3
1466a7000
154441753
hex2e8be68

48807528 has 144 divisors (see below), whose sum is σ = 156471840. Its totient is φ = 12677280.

The previous prime is 48807491. The next prime is 48807533. The reversal of 48807528 is 82570884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 48807528.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4437043 + ... + 4437053.

It is an arithmetic number, because the mean of its divisors is an integer number (1086610).

Almost surely, 248807528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48807528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78235920).

48807528 is an abundant number, since it is smaller than the sum of its proper divisors (107664312).

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

48807528 is an equidigital number, since it uses as much as digits as its factorization.

48807528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 48807528 is about 6986.2384728837. The cubic root of 48807528 is about 365.4508172010.

Multiplying 48807528 by its sum of digits (42), we get a square (2049916176 = 452762).

48807528 divided by its sum of digits (42) gives a square (1162084 = 10782).

The spelling of 48807528 in words is "forty-eight million, eight hundred seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 343 363 392 462 484 539 588 616 686 726 847 924 968 1029 1078 1176 1372 1452 1617 1694 1848 2058 2156 2401 2541 2744 2904 3234 3388 3773 4116 4312 4802 5082 5929 6468 6776 7203 7546 8232 9604 10164 11319 11858 12936 14406 15092 16807 17787 19208 20328 22638 23716 26411 28812 30184 33614 35574 41503 45276 47432 50421 52822 57624 67228 71148 79233 83006 90552 100842 105644 124509 134456 142296 158466 166012 184877 201684 211288 249018 290521 316932 332024 369754 403368 498036 554631 581042 633864 739508 871563 996072 1109262 1162084 1479016 1743126 2033647 2218524 2324168 3486252 4067294 4437048 6100941 6972504 8134588 12201882 16269176 24403764 48807528