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48261420 = 22345313
BaseRepresentation
bin1011100000011…
…0100100101100
310100210221020000
42320012210230
544323331140
64442224300
71124133564
oct270064454
9110727200
1048261420
1125273579
12141b5090
139cc9c6c
1465a3da4
154384a30
hex2e0692c

48261420 has 120 divisors (see below), whose sum is σ = 156444288. Its totient is φ = 12454560.

The previous prime is 48261413. The next prime is 48261427. The reversal of 48261420 is 2416284.

48261420 is a `hidden beast` number, since 48 + 2 + 614 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48261413) and next prime (48261427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 465 × 279 × 372.

It is not an unprimeable number, because it can be changed into a prime (48261427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1556805 + ... + 1556835.

Almost surely, 248261420 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 48261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78222144).

48261420 is an abundant number, since it is smaller than the sum of its proper divisors (108182868).

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

48261420 is an equidigital number, since it uses as much as digits as its factorization.

48261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48261420 is about 6947.0439756777. The cubic root of 48261420 is about 364.0826906287.

The spelling of 48261420 in words is "forty-eight million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 961 1116 1395 1620 1674 1860 1922 2511 2790 2883 3348 3844 4185 4805 5022 5580 5766 8370 8649 9610 10044 11532 12555 14415 16740 17298 19220 25110 25947 28830 29791 34596 43245 50220 51894 57660 59582 77841 86490 89373 103788 119164 129735 148955 155682 172980 178746 259470 268119 297910 311364 357492 389205 446865 518940 536238 595820 778410 804357 893730 1072476 1340595 1556820 1608714 1787460 2413071 2681190 3217428 4021785 4826142 5362380 8043570 9652284 12065355 16087140 24130710 48261420