Search a number
-
+
94954002 = 23111328513
BaseRepresentation
bin1011010100011…
…10001000010010
320121200011101220
411222032020102
5143302012002
613231105510
72232044553
oct552161022
9217604356
1094954002
1149665390
1227972296
1316897b00
14c87a32a
1585097bc
hex5a8e212

94954002 has 48 divisors (see below), whose sum is σ = 224360928. Its totient is φ = 26557440.

The previous prime is 94953997. The next prime is 94954031. The reversal of 94954002 is 20045949.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 6898 + ... + 15410.

It is an arithmetic number, because the mean of its divisors is an integer number (4674186).

Almost surely, 294954002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94954002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112180464).

94954002 is an abundant number, since it is smaller than the sum of its proper divisors (129406926).

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

94954002 is a wasteful number, since it uses less digits than its factorization.

94954002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 94954002 is about 9744.4344114987. The cubic root of 94954002 is about 456.2166080022.

The spelling of 94954002 in words is "ninety-four million, nine hundred fifty-four thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3718 5577 8513 11154 17026 25539 51078 93643 110669 187286 221338 280929 332007 561858 664014 1217359 1438697 2434718 2877394 3652077 4316091 7304154 8632182 15825667 31651334 47477001 94954002