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90493848 = 2334359389
BaseRepresentation
bin1010110010011…
…01001110011000
320022021120020000
411121031032120
5141131300343
612551333000
72146120314
oct531151630
9208246200
1090493848
1147099405
1226381160
1315995973
14c038b44
157e27ed3
hex564d398

90493848 has 80 divisors (see below), whose sum is σ = 254826000. Its totient is φ = 30003264.

The previous prime is 90493841. The next prime is 90493849. The reversal of 90493848 is 84839409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90493841) 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 19 ways as a sum of consecutive naturals, for example, 232438 + ... + 232826.

It is an arithmetic number, because the mean of its divisors is an integer number (3185325).

Almost surely, 290493848 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 90493848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127413000).

90493848 is an abundant number, since it is smaller than the sum of its proper divisors (164332152).

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

90493848 is a wasteful number, since it uses less digits than its factorization.

90493848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 90493848 is about 9512.8254477836. The cubic root of 90493848 is about 448.9586587664.

The spelling of 90493848 in words is "ninety million, four hundred ninety-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 359 389 648 718 778 1077 1167 1436 1556 2154 2334 2872 3112 3231 3501 4308 4668 6462 7002 8616 9336 9693 10503 12924 14004 19386 21006 25848 28008 29079 31509 38772 42012 58158 63018 77544 84024 116316 126036 139651 232632 252072 279302 418953 558604 837906 1117208 1256859 1675812 2513718 3351624 3770577 5027436 7541154 10054872 11311731 15082308 22623462 30164616 45246924 90493848