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48845454 = 23721729337
BaseRepresentation
bin1011101001010…
…1001010001110
310101220121100220
42322111022032
5100001023304
64502532210
71132115400
oct272251216
9111817326
1048845454
1125632349
1214437066
13a172a48
1466b6b70
15444cad9
hex2e9528e

48845454 has 96 divisors (see below), whose sum is σ = 124843680. Its totient is φ = 12644352.

The previous prime is 48845453. The next prime is 48845477. The reversal of 48845454 is 45454884.

48845454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488454542 = 4771756752932232, which contains 22 as substring.

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

48845454 is a modest number, since divided by 5454 gives 4884 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48845453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144774 + ... + 145110.

It is an arithmetic number, because the mean of its divisors is an integer number (1300455).

Almost surely, 248845454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48845454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62421840).

48845454 is an abundant number, since it is smaller than the sum of its proper divisors (75998226).

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

48845454 is a wasteful number, since it uses less digits than its factorization.

48845454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 48845454 is about 6988.9522819948. The cubic root of 48845454 is about 365.5454508214.

The spelling of 48845454 in words is "forty-eight million, eight hundred forty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 49 51 58 87 98 102 119 147 174 203 238 294 337 357 406 493 609 674 714 833 986 1011 1218 1421 1479 1666 2022 2359 2499 2842 2958 3451 4263 4718 4998 5729 6902 7077 8526 9773 10353 11458 14154 16513 17187 19546 20706 24157 29319 33026 34374 40103 48314 49539 58638 68411 72471 80206 99078 120309 136822 144942 166141 205233 240618 280721 332282 410466 478877 498423 561442 842163 957754 996846 1162987 1436631 1684326 2325974 2873262 3488961 6977922 8140909 16281818 24422727 48845454