Search a number
-
+
48309492 = 2237311297
BaseRepresentation
bin1011100001001…
…0010011110100
310100220101011110
42320102103310
544331400432
64443235020
71124424000
oct270222364
9110811143
1048309492
11252a6700
1214218a70
13a015aca
1465b7700
154393dcc
hex2e124f4

48309492 has 144 divisors (see below), whose sum is σ = 145980800. Its totient is φ = 12418560.

The previous prime is 48309487. The next prime is 48309517. The reversal of 48309492 is 29490384.

It is a self number, because there is not a number n which added to its sum of digits gives 48309492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497988 + ... + 498084.

Almost surely, 248309492 is an apocalyptic number.

48309492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48309492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990400).

48309492 is an abundant number, since it is smaller than the sum of its proper divisors (97671308).

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

48309492 is a wasteful number, since it uses less digits than its factorization.

48309492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 48309492 is about 6950.5030033804. The cubic root of 48309492 is about 364.2035350848.

The spelling of 48309492 in words is "forty-eight million, three hundred nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 97 98 121 132 147 154 194 196 231 242 291 294 308 343 363 388 462 484 539 582 588 679 686 726 847 924 1029 1067 1078 1164 1358 1372 1452 1617 1694 2037 2058 2134 2156 2541 2716 3201 3234 3388 3773 4074 4116 4268 4753 5082 5929 6402 6468 7469 7546 8148 9506 10164 11319 11737 11858 12804 14259 14938 15092 17787 19012 22407 22638 23474 23716 28518 29876 33271 35211 35574 41503 44814 45276 46948 52283 57036 66542 70422 71148 82159 83006 89628 99813 104566 124509 133084 140844 156849 164318 166012 199626 209132 246477 249018 313698 328636 365981 399252 492954 498036 575113 627396 731962 985908 1097943 1150226 1463924 1725339 2195886 2300452 3450678 4025791 4391772 6901356 8051582 12077373 16103164 24154746 48309492