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88434936 = 23334011021
BaseRepresentation
bin1010100010101…
…10100011111000
320011101221221000
411101112203320
5140114404221
612435245000
72122453542
oct521264370
9204357830
1088434936
1145a12527
1225749760
1315424785
14ba60692
157b6ce26
hex54568f8

88434936 has 64 divisors (see below), whose sum is σ = 246506400. Its totient is φ = 29376000.

The previous prime is 88434919. The next prime is 88434937. The reversal of 88434936 is 63943488.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88434891 and 88434900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88434937) 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 15 ways as a sum of consecutive naturals, for example, 86106 + ... + 87126.

Almost surely, 288434936 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 88434936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123253200).

88434936 is an abundant number, since it is smaller than the sum of its proper divisors (158071464).

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

88434936 is a wasteful number, since it uses less digits than its factorization.

88434936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 88434936 is about 9403.9851127062. The cubic root of 88434936 is about 445.5276088502.

The spelling of 88434936 in words is "eighty-eight million, four hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 401 802 1021 1203 1604 2042 2406 3063 3208 3609 4084 4812 6126 7218 8168 9189 9624 10827 12252 14436 18378 21654 24504 27567 28872 36756 43308 55134 73512 86616 110268 220536 409421 818842 1228263 1637684 2456526 3275368 3684789 4913052 7369578 9826104 11054367 14739156 22108734 29478312 44217468 88434936