Search a number
-
+
3790152 = 23345849
BaseRepresentation
bin1110011101010101001000
321010120010000
432131111020
51432241102
6213123000
744134002
oct16352510
97116100
103790152
112159663
121329460
13a291c2
14709372
154ed01c
hex39d548

3790152 has 40 divisors (see below), whose sum is σ = 10617750. Its totient is φ = 1263168.

The previous prime is 3790121. The next prime is 3790187. The reversal of 3790152 is 2510973.

3790152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3437316 + 352836 = 1854^2 + 594^2 .

It is a super-3 number, since 3×37901523 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 2277 + ... + 3572.

Almost surely, 23790152 is an apocalyptic number.

It is an amenable number.

3790152 is an abundant number, since it is smaller than the sum of its proper divisors (6827598).

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

3790152 is a wasteful number, since it uses less digits than its factorization.

3790152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3790152 is about 1946.8312715795. The cubic root of 3790152 is about 155.9141539514.

The spelling of 3790152 in words is "three million, seven hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5849 11698 17547 23396 35094 46792 52641 70188 105282 140376 157923 210564 315846 421128 473769 631692 947538 1263384 1895076 3790152