Search a number
-
+
19293408 = 2532312161
BaseRepresentation
bin100100110011…
…0010011100000
31100022012120200
41021212103200
514414342113
61525305200
7322664001
oct111462340
940265520
1019293408
11a988472
126565200
133cc6924
1427c31a8
151a61873
hex12664e0

19293408 has 72 divisors (see below), whose sum is σ = 56661696. Its totient is φ = 6220800.

The previous prime is 19293403. The next prime is 19293409. The reversal of 19293408 is 80439291.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19293401) 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, 7848 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (786968).

Almost surely, 219293408 is an apocalyptic number.

19293408 is a gapful number since it is divisible by the number (18) 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 19293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28330848).

19293408 is an abundant number, since it is smaller than the sum of its proper divisors (37368288).

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

19293408 is a wasteful number, since it uses less digits than its factorization.

19293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2197 counting only the distinct ones).

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

The square root of 19293408 is about 4392.4262088281. The cubic root of 19293408 is about 268.2067165796.

It can be divided in two parts, 19293 and 408, that added together give a triangular number (19701 = T198).

The spelling of 19293408 in words is "nineteen million, two hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2161 2232 2976 4322 4464 6483 8644 8928 12966 17288 19449 25932 34576 38898 51864 66991 69152 77796 103728 133982 155592 200973 207456 267964 311184 401946 535928 602919 622368 803892 1071856 1205838 1607784 2143712 2411676 3215568 4823352 6431136 9646704 19293408