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90681948 = 22327251407
BaseRepresentation
bin1010110011110…
…11001001011100
320022122010020200
411121323021130
5141203310243
612555343500
72150532600
oct531731134
9208563220
1090681948
1147207765
1226451b90
1315a30476
14c087500
157e63ad3
hex567b25c

90681948 has 54 divisors (see below), whose sum is σ = 266653296. Its totient is φ = 25908624.

The previous prime is 90681947. The next prime is 90681949. The reversal of 90681948 is 84918609.

It is an interprime number because it is at equal distance from previous prime (90681947) and next prime (90681949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90681947) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23940 + ... + 27467.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 290681948 is an apocalyptic number.

90681948 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

90681948 is an abundant number, since it is smaller than the sum of its proper divisors (175971348).

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

90681948 is a wasteful number, since it uses less digits than its factorization.

90681948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51431 (or 51419 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90681948 is about 9522.7069680842. The cubic root of 90681948 is about 449.2695111291.

The spelling of 90681948 in words is "ninety million, six hundred eighty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 51407 102814 154221 205628 308442 359849 462663 616884 719698 925326 1079547 1439396 1850652 2159094 2518943 3238641 4318188 5037886 6477282 7556829 10075772 12954564 15113658 22670487 30227316 45340974 90681948