Search a number
-
+
94192416 = 2533412659
BaseRepresentation
bin1011001110101…
…00001100100000
320120020110201000
411213110030200
5143103124131
613202512000
72222423313
oct547241440
9216213630
1094192416
114919517a
1227665600
131668c276
14c71c97a
158408ce6
hex59d4320

94192416 has 96 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 30620160.

The previous prime is 94192409. The next prime is 94192453. The reversal of 94192416 is 61429149.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×941924162 = 17744422463834112, which contains 22 as substring.

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

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34095 + ... + 36753.

It is an arithmetic number, because the mean of its divisors is an integer number (2932650).

Almost surely, 294192416 is an apocalyptic number.

94192416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94192416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

94192416 is an abundant number, since it is smaller than the sum of its proper divisors (187341984).

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

94192416 is a wasteful number, since it uses less digits than its factorization.

94192416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2705 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 94192416 is about 9705.2777394570. The cubic root of 94192416 is about 454.9936254793.

It can be divided in two parts, 94 and 192416, that added together give a triangular number (192510 = T620).

The spelling of 94192416 in words is "ninety-four million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2659 2952 3936 4428 5318 5904 7977 8856 10636 11808 15954 17712 21272 23931 31908 35424 42544 47862 63816 71793 85088 95724 109019 127632 143586 191448 218038 255264 287172 327057 382896 436076 574344 654114 765792 872152 981171 1148688 1308228 1744304 1962342 2297376 2616456 2943513 3488608 3924684 5232912 5887026 7849368 10465824 11774052 15698736 23548104 31397472 47096208 94192416