Search a number
-
+
749445376 = 28292592
BaseRepresentation
bin101100101010111…
…010000100000000
31221020012202210011
4230222322010000
53013324223001
6202211114304
724400115641
oct5452720400
91836182704
10749445376
11355051449
1218aba2994
13bc362204
14717696c8
1545bdcd51
hex2caba100

749445376 has 81 divisors (see below), whose sum is σ = 1576031821. Its totient is φ = 355668992.

The previous prime is 749445371. The next prime is 749445379. The reversal of 749445376 is 673544947.

The square root of 749445376 is 27376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392990976 + 356454400 = 19824^2 + 18880^2 .

It is a Duffinian number.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (749445371) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 12702435 + ... + 12702493.

Almost surely, 2749445376 is an apocalyptic number.

749445376 is the 27376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749445376

749445376 is an abundant number, since it is smaller than the sum of its proper divisors (826586445).

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

749445376 is an frugal number, since it uses more digits than its factorization.

749445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The cubic root of 749445376 is about 908.3362814781.

Multiplying 749445376 by its sum of digits (49), we get a square (36722823424 = 1916322).

The spelling of 749445376 in words is "seven hundred forty-nine million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 256 464 472 841 928 944 1682 1711 1856 1888 3364 3422 3481 3712 3776 6728 6844 6962 7424 7552 13456 13688 13924 15104 26912 27376 27848 49619 53824 54752 55696 99238 100949 107648 109504 111392 198476 201898 215296 219008 222784 396952 403796 438016 445568 793904 807592 891136 1587808 1615184 2927521 3175616 3230368 5855042 6351232 6460736 11710084 12702464 12921472 23420168 25842944 46840336 93680672 187361344 374722688 749445376