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58398144 = 263743451
BaseRepresentation
bin1101111011000…
…1010111000000
311001212221012020
43132301113000
5104422220034
65443401440
71306242660
oct336612700
9131787166
1058398144
112aa67432
1217683280
13c138b1c
147a821a0
1551d8249
hex37b15c0

58398144 has 56 divisors (see below), whose sum is σ = 176588928. Its totient is φ = 16684800.

The previous prime is 58398121. The next prime is 58398149. The reversal of 58398144 is 44189385.

58398144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 58398096 and 58398105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58398149) 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 7 ways as a sum of consecutive naturals, for example, 20382 + ... + 23069.

Almost surely, 258398144 is an apocalyptic number.

It is an amenable number.

58398144 is an abundant number, since it is smaller than the sum of its proper divisors (118190784).

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

58398144 is a wasteful number, since it uses less digits than its factorization.

58398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43473 (or 43463 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 58398144 is about 7641.8678345022. The cubic root of 58398144 is about 387.9713728126.

The spelling of 58398144 in words is "fifty-eight million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 43451 86902 130353 173804 260706 304157 347608 521412 608314 695216 912471 1042824 1216628 1390432 1824942 2085648 2433256 2780864 3649884 4171296 4866512 7299768 8342592 9733024 14599536 19466048 29199072 58398144