Search a number
-
+
9038574132 = 22371923733373
BaseRepresentation
bin10000110101011110…
…11011001000110100
3212022220200010202220
420122233123020310
5122002333333012
64052520002340
7436661420040
oct103257331064
925286603686
109038574132
113919048585
1219030003b0
13b10767b23
1461a5b7020
1537d79b08c
hex21abdb234

9038574132 has 192 divisors, whose sum is σ = 26845163520. Its totient is φ = 2307419136.

The previous prime is 9038574091. The next prime is 9038574173. The reversal of 9038574132 is 2314758309.

9038574132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9038574091) and next prime (9038574173).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2677998 + ... + 2681370.

It is an arithmetic number, because the mean of its divisors is an integer number (139818560).

Almost surely, 29038574132 is an apocalyptic number.

9038574132 is a gapful number since it is divisible by the number (92) 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 9038574132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422581760).

9038574132 is an abundant number, since it is smaller than the sum of its proper divisors (17806589388).

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

9038574132 is a wasteful number, since it uses less digits than its factorization.

9038574132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 9038574132 is about 95071.4159566376. The cubic root of 9038574132 is about 2083.0513440596.

The spelling of 9038574132 in words is "nine billion, thirty-eight million, five hundred seventy-four thousand, one hundred thirty-two".