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88413006 = 2311311071
BaseRepresentation
bin1010100010100…
…01001101001110
320011100211211210
411101101031032
5140113204011
612434555250
72122332603
oct521211516
9204324753
1088413006
11459a8000
1225738b26
13154177b6
14ba566aa
157b666a6
hex545134e

88413006 has 32 divisors (see below), whose sum is σ = 194512896. Its totient is φ = 26789400.

The previous prime is 88412983. The next prime is 88413029. The reversal of 88413006 is 60031488.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88412983) and next prime (88413029).

It is a super-3 number, since 3×884130063 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (6078528).

Almost surely, 288413006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88413006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97256448).

88413006 is an abundant number, since it is smaller than the sum of its proper divisors (106099890).

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

88413006 is a wasteful number, since it uses less digits than its factorization.

88413006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11109 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 88413006 is about 9402.8190453714. The cubic root of 88413006 is about 445.4907786538.

The spelling of 88413006 in words is "eighty-eight million, four hundred thirteen thousand, six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 11071 22142 33213 66426 121781 243562 365343 730686 1339591 2679182 4018773 8037546 14735501 29471002 44206503 88413006