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48273408 = 2113597
BaseRepresentation
bin1011100000100…
…1100000000000
310100211112200000
42320021200000
544324222113
64442400000
71124213541
oct270114000
9110745600
1048273408
1125281587
1214200000
13a002561
1465a84c8
154388373
hex2e09800

48273408 has 144 divisors (see below), whose sum is σ = 146076840. Its totient is φ = 15925248.

The previous prime is 48273403. The next prime is 48273427. The reversal of 48273408 is 80437284.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48273403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497616 + ... + 497712.

Almost surely, 248273408 is an apocalyptic number.

48273408 is a gapful number since it is divisible by the number (48) 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 48273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73038420).

48273408 is an abundant number, since it is smaller than the sum of its proper divisors (97803432).

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

48273408 is an frugal number, since it uses more digits than its factorization.

48273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48273408 is about 6947.9067351253. The cubic root of 48273408 is about 364.1128338360.

The spelling of 48273408 in words is "forty-eight million, two hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 243 256 288 291 324 384 388 432 486 512 576 582 648 768 776 864 873 972 1024 1152 1164 1296 1536 1552 1728 1746 1944 2048 2304 2328 2592 2619 3072 3104 3456 3492 3888 4608 4656 5184 5238 6144 6208 6912 6984 7776 7857 9216 9312 10368 10476 12416 13824 13968 15552 15714 18432 18624 20736 20952 23571 24832 27648 27936 31104 31428 37248 41472 41904 47142 49664 55296 55872 62208 62856 74496 82944 83808 94284 99328 111744 124416 125712 148992 165888 167616 188568 198656 223488 248832 251424 297984 335232 377136 446976 497664 502848 595968 670464 754272 893952 1005696 1340928 1508544 1787904 2011392 2681856 3017088 4022784 5363712 6034176 8045568 12068352 16091136 24136704 48273408