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4191372 = 22331972
BaseRepresentation
bin1111111111010010001100
321212221111000
433333102030
52033110442
6225500300
750424513
oct17772214
97787430
104191372
112403049
1214a1690
13b39a03
147b167a
1557bd4c
hex3ff48c

4191372 has 36 divisors (see below), whose sum is σ = 10921960. Its totient is φ = 1390032.

The previous prime is 4191353. The next prime is 4191373. The reversal of 4191372 is 2731914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4191372 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4191373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21178 + ... + 21374.

Almost surely, 24191372 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 4191372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460980).

4191372 is an abundant number, since it is smaller than the sum of its proper divisors (6730588).

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

4191372 is a wasteful number, since it uses less digits than its factorization.

4191372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 202 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 4191372 is about 2047.2840545464. The cubic root of 4191372 is about 161.2323074152.

Multiplying 4191372 by its sum of digits (27), we get a square (113167044 = 106382).

4191372 divided by its sum of digits (27) gives a square (155236 = 3942).

The spelling of 4191372 in words is "four million, one hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 21276 38809 77618 116427 155236 232854 349281 465708 698562 1047843 1397124 2095686 4191372