Search a number
-
+
98417004 = 22371398429
BaseRepresentation
bin1011101110110…
…11100101101100
320212012002202020
411313123211230
5200143321004
613433230140
72303350020
oct567334554
9225162666
1098417004
1150610174
1228b62350
131750b11a
14d0dc380
1589908d9
hex5ddb96c

98417004 has 48 divisors (see below), whose sum is σ = 264364800. Its totient is φ = 27913536.

The previous prime is 98416991. The next prime is 98417021. The reversal of 98417004 is 40071489.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7462 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (5507600).

Almost surely, 298417004 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 98417004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132182400).

98417004 is an abundant number, since it is smaller than the sum of its proper divisors (165947796).

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

98417004 is a wasteful number, since it uses less digits than its factorization.

98417004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 98417004 is about 9920.5344614088. The cubic root of 98417004 is about 461.6966393645.

The spelling of 98417004 in words is "ninety-eight million, four hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 8429 11676 16858 25287 33716 50574 59003 101148 118006 177009 236012 354018 708036 1171631 2343262 3514893 4686524 7029786 8201417 14059572 16402834 24604251 32805668 49208502 98417004