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88269040 = 2452938047
BaseRepresentation
bin1010100001011…
…10000011110000
320011002112100201
411100232003300
5140044102130
612431524544
72121163066
oct520560360
9204075321
1088269040
1145909922
1225689754
1315397102
14ba1a036
157b38bca
hex542e0f0

88269040 has 40 divisors (see below), whose sum is σ = 212307840. Its totient is φ = 34089216.

The previous prime is 88269029. The next prime is 88269047. The reversal of 88269040 is 4096288.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88269047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16704 + ... + 21343.

It is an arithmetic number, because the mean of its divisors is an integer number (5307696).

Almost surely, 288269040 is an apocalyptic number.

88269040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88269040 is an abundant number, since it is smaller than the sum of its proper divisors (124038800).

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

88269040 is a wasteful number, since it uses less digits than its factorization.

88269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38089 (or 38083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 88269040 is about 9395.1604563201. The cubic root of 88269040 is about 445.2488445341.

The spelling of 88269040 in words is "eighty-eight million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 38047 76094 152188 190235 304376 380470 608752 760940 1103363 1521880 2206726 3043760 4413452 5516815 8826904 11033630 17653808 22067260 44134520 88269040