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87434208 = 2533101197
BaseRepresentation
bin1010011011000…
…10001111100000
320002112010012000
411031202033200
5134340343313
612402004000
72111115141
oct515421740
9202463160
1087434208
1145399684
1225346600
1315164124
14b87dac8
157a21673
hex53623e0

87434208 has 48 divisors (see below), whose sum is σ = 255018960. Its totient is φ = 29144448.

The previous prime is 87434203. The next prime is 87434209. The reversal of 87434208 is 80243478.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87434203) 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, 49735 + ... + 51462.

It is an arithmetic number, because the mean of its divisors is an integer number (5312895).

Almost surely, 287434208 is an apocalyptic number.

It is an amenable number.

87434208 is an abundant number, since it is smaller than the sum of its proper divisors (167584752).

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

87434208 is a wasteful number, since it uses less digits than its factorization.

87434208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101216 (or 101202 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87434208 is about 9350.6260752957. The cubic root of 87434208 is about 443.8407025330.

The spelling of 87434208 in words is "eighty-seven million, four hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 101197 202394 303591 404788 607182 809576 910773 1214364 1619152 1821546 2428728 2732319 3238304 3643092 4857456 5464638 7286184 9714912 10929276 14572368 21858552 29144736 43717104 87434208