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94387872 = 2532234409
BaseRepresentation
bin1011010000000…
…11111010100000
320120121101211010
411220003322200
5143130402442
613211020520
72224166205
oct550037240
9216541733
1094387872
1149309007
122773a740
131672a217
14c76dcac
158446b9c
hex5a03ea0

94387872 has 48 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 31314432.

The previous prime is 94387871. The next prime is 94387873. The reversal of 94387872 is 27878349.

It is an interprime number because it is at equal distance from previous prime (94387871) and next prime (94387873).

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 (48).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (94387871) 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, 19204 + ... + 23612.

It is an arithmetic number, because the mean of its divisors is an integer number (5186160).

Almost surely, 294387872 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 94387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

94387872 is an abundant number, since it is smaller than the sum of its proper divisors (154547808).

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

94387872 is a wasteful number, since it uses less digits than its factorization.

94387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4637 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 94387872 is about 9715.3420938225. The cubic root of 94387872 is about 455.3081228162.

It can be divided in two parts, 94387 and 872, that added together give a palindrome (95259).

The spelling of 94387872 in words is "ninety-four million, three hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 4409 5352 7136 8818 10704 13227 17636 21408 26454 35272 52908 70544 105816 141088 211632 423264 983207 1966414 2949621 3932828 5899242 7865656 11798484 15731312 23596968 31462624 47193936 94387872