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92130048 = 28351481
BaseRepresentation
bin1010111110111…
…00101100000000
320102100200200000
411133130230000
5142041130143
613050400000
72166043503
oct537345400
9212320600
1092130048
114800673a
1226a30000
131611962a
14c34313a
15814cbd3
hex57dcb00

92130048 has 108 divisors (see below), whose sum is σ = 275657928. Its totient is φ = 30689280.

The previous prime is 92130043. The next prime is 92130053. The reversal of 92130048 is 84003129.

It is an interprime number because it is at equal distance from previous prime (92130043) and next prime (92130053).

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (92130043) 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 11 ways as a sum of consecutive naturals, for example, 61468 + ... + 62948.

Almost surely, 292130048 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 92130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137828964).

92130048 is an abundant number, since it is smaller than the sum of its proper divisors (183527880).

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

92130048 is an equidigital number, since it uses as much as digits as its factorization.

92130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 92130048 is about 9598.4398732294. The cubic root of 92130048 is about 451.6483546873.

The spelling of 92130048 in words is "ninety-two million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1481 1728 1944 2304 2592 2962 3456 3888 4443 5184 5924 6912 7776 8886 10368 11848 13329 15552 17772 20736 23696 26658 31104 35544 39987 47392 53316 62208 71088 79974 94784 106632 119961 142176 159948 189568 213264 239922 284352 319896 359883 379136 426528 479844 568704 639792 719766 853056 959688 1137408 1279584 1439532 1706112 1919376 2559168 2879064 3412224 3838752 5118336 5758128 7677504 10236672 11516256 15355008 23032512 30710016 46065024 92130048