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745376256 = 29361997
BaseRepresentation
bin101100011011011…
…000101000000000
31220221120001000000
4230123120220000
53011304020011
6201544000000
724320410422
oct5433305000
91827501000
10745376256
11352822239
12189760000
13bb569051
1470dca812
1545687356
hex2c6d8a00

745376256 has 140 divisors (see below), whose sum is σ = 2234041722. Its totient is φ = 248334336.

The previous prime is 745376221. The next prime is 745376257. The reversal of 745376256 is 652673547.

745376256 is a `hidden beast` number, since 7 + 4 + 537 + 62 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 4665600 = 27216^2 + 2160^2 .

It is not an unprimeable number, because it can be changed into a prime (745376257) 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 13 ways as a sum of consecutive naturals, for example, 372250 + ... + 374246.

Almost surely, 2745376256 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 745376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117020861).

745376256 is an abundant number, since it is smaller than the sum of its proper divisors (1488665466).

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

745376256 is an frugal number, since it uses more digits than its factorization.

745376256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2002 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 745376256 is about 27301.5797345135. The cubic root of 745376256 is about 906.6893573714.

The spelling of 745376256 in words is "seven hundred forty-five million, three hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 1997 2304 2592 2916 3456 3888 3994 4608 5184 5832 5991 6912 7776 7988 10368 11664 11982 13824 15552 15976 17973 20736 23328 23964 31104 31952 35946 41472 46656 47928 53919 62208 63904 71892 93312 95856 107838 124416 127808 143784 161757 186624 191712 215676 255616 287568 323514 373248 383424 431352 485271 511232 575136 647028 766848 862704 970542 1022464 1150272 1294056 1455813 1533696 1725408 1941084 2300544 2588112 2911626 3067392 3450816 3882168 4601088 5176224 5823252 6901632 7764336 9202176 10352448 11646504 13803264 15528672 20704896 23293008 27606528 31057344 41409792 46586016 62114688 82819584 93172032 124229376 186344064 248458752 372688128 745376256