Search a number
-
+
744149440 = 26519122393
BaseRepresentation
bin101100010110101…
…101000111000000
31220212020201010101
4230112231013000
53011000240230
6201501412144
724304110616
oct5426550700
91825221111
10744149440
11352064541
1218926a054
13bb229818
1470b8b6b6
15454e3aca
hex2c5ad1c0

744149440 has 56 divisors (see below), whose sum is σ = 1865284560. Its totient is φ = 281991168.

The previous prime is 744149401. The next prime is 744149453. The reversal of 744149440 is 44941447.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 744149440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55117 + ... + 67276.

Almost surely, 2744149440 is an apocalyptic number.

It is an amenable number.

744149440 is an abundant number, since it is smaller than the sum of its proper divisors (1121135120).

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

744149440 is a wasteful number, since it uses less digits than its factorization.

744149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122429 (or 122419 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 744149440 is about 27279.1026245366. The cubic root of 744149440 is about 906.1916437096.

The spelling of 744149440 in words is "seven hundred forty-four million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 122393 244786 489572 611965 979144 1223930 1958288 2325467 2447860 3916576 4650934 4895720 7833152 9301868 9791440 11627335 18603736 19582880 23254670 37207472 39165760 46509340 74414944 93018680 148829888 186037360 372074720 744149440