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48591816 = 233713191171
BaseRepresentation
bin1011100101011…
…1001111001000
310101102201102220
42321113033020
544414414231
64453254040
71130011050
oct271271710
9111381386
1048591816
1125479829
1214334320
13a0b4470
14664c560
1543ec896
hex2e573c8

48591816 has 128 divisors (see below), whose sum is σ = 157516800. Its totient is φ = 12130560.

The previous prime is 48591799. The next prime is 48591821. The reversal of 48591816 is 61819584.

It is a super-2 number, since 2×485918162 = 4722329164355712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40911 + ... + 42081.

It is an arithmetic number, because the mean of its divisors is an integer number (1230600).

Almost surely, 248591816 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 48591816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78758400).

48591816 is an abundant number, since it is smaller than the sum of its proper divisors (108924984).

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

48591816 is a wasteful number, since it uses less digits than its factorization.

48591816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 48591816 is about 6970.7830263178. The cubic root of 48591816 is about 364.9116343289.

The spelling of 48591816 in words is "forty-eight million, five hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1171 1482 1596 1729 1976 2184 2342 2964 3192 3458 3513 4684 5187 5928 6916 7026 8197 9368 10374 13832 14052 15223 16394 20748 22249 24591 28104 30446 32788 41496 44498 45669 49182 60892 65576 66747 88996 91338 98364 106561 121784 133494 155743 177992 182676 196728 213122 266988 289237 311486 319683 365352 426244 467229 533976 578474 622972 639366 852488 867711 934458 1156948 1245944 1278732 1735422 1868916 2024659 2313896 2557464 3470844 3737832 4049318 6073977 6941688 8098636 12147954 16197272 24295908 48591816