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38588872 = 237641
BaseRepresentation
bin1001001100110…
…1000111001000
32200121111222111
42103031013020
534334320442
63455032104
7646000000
oct223150710
980544874
1038588872
111a867433
1210b0b634
137cc146a
1451a7000
1535c3b17
hex24cd1c8

38588872 has 56 divisors (see below), whose sum is σ = 86471910. Its totient is φ = 16134720.

The previous prime is 38588843. The next prime is 38588881. The reversal of 38588872 is 27888583.

It can be written as a sum of positive squares in only one way, i.e., 38118276 + 470596 = 6174^2 + 686^2 .

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 941172 + ... + 941212.

Almost surely, 238588872 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 38588872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43235955).

38588872 is an abundant number, since it is smaller than the sum of its proper divisors (47883038).

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

38588872 is an frugal number, since it uses more digits than its factorization.

38588872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its digits is 860160, while the sum is 49.

The square root of 38588872 is about 6211.9942047623. The cubic root of 38588872 is about 337.9252895575.

The spelling of 38588872 in words is "thirty-eight million, five hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 343 392 574 686 1148 1372 2009 2296 2401 2744 4018 4802 8036 9604 14063 16072 16807 19208 28126 33614 56252 67228 98441 112504 117649 134456 196882 235298 393764 470596 689087 787528 941192 1378174 2756348 4823609 5512696 9647218 19294436 38588872