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88838240 = 2552332383
BaseRepresentation
bin1010100101110…
…01000001100000
320012011110011012
411102321001200
5140220310430
612452040052
72126053421
oct522710140
9205143135
1088838240
1146168537
1225903028
131553620a
14bb27648
157bec695
hex54b9060

88838240 has 48 divisors (see below), whose sum is σ = 210869568. Its totient is φ = 35367936.

The previous prime is 88838203. The next prime is 88838249. The reversal of 88838240 is 4283888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88838249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36089 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (4393116).

Almost surely, 288838240 is an apocalyptic number.

88838240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105434784).

88838240 is an abundant number, since it is smaller than the sum of its proper divisors (122031328).

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

88838240 is a wasteful number, since it uses less digits than its factorization.

88838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 88838240 is about 9425.4039701224. The cubic root of 88838240 is about 446.2038521955.

The spelling of 88838240 in words is "eighty-eight million, eight hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 2383 3728 4660 4766 7456 9320 9532 11915 18640 19064 23830 37280 38128 47660 76256 95320 190640 381280 555239 1110478 2220956 2776195 4441912 5552390 8883824 11104780 17767648 22209560 44419120 88838240