Search a number
-
+
745402112 = 287313653
BaseRepresentation
bin101100011011011…
…110111100000000
31220221121100110122
4230123132330000
53011310331422
6201544315412
724320546000
oct5433367400
91827540418
10745402112
1135283a704
12189772b68
13bb577a50
1470dd6000
154568ed42
hex2c6def00

745402112 has 144 divisors (see below), whose sum is σ = 1871486400. Its totient is φ = 294432768.

The previous prime is 745402057. The next prime is 745402117. The reversal of 745402112 is 211204547.

745402112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×7454021123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745402117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141178 + ... + 1141830.

Almost surely, 2745402112 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 745402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935743200).

745402112 is an abundant number, since it is smaller than the sum of its proper divisors (1126084288).

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

745402112 is an equidigital number, since it uses as much as digits as its factorization.

745402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 745402112 is about 27302.0532561198. The cubic root of 745402112 is about 906.6998411545.

Adding to 745402112 its reverse (211204547), we get a palindrome (956606659).

The spelling of 745402112 in words is "seven hundred forty-five million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 343 364 392 416 448 637 653 686 728 784 832 896 1274 1306 1372 1456 1568 1664 1792 2548 2612 2744 2912 3136 3328 4459 4571 5096 5224 5488 5824 6272 8489 8918 9142 10192 10448 10976 11648 12544 16978 17836 18284 20384 20896 21952 23296 31997 33956 35672 36568 40768 41792 43904 59423 63994 67912 71344 73136 81536 83584 87808 118846 127988 135824 142688 146272 163072 167168 223979 237692 255976 271648 285376 292544 415961 447958 475384 511952 543296 570752 585088 831922 895916 950768 1023904 1086592 1141504 1170176 1663844 1791832 1901536 2047808 2173184 2911727 3327688 3583664 3803072 4095616 5823454 6655376 7167328 7606144 8191232 11646908 13310752 14334656 15212288 23293816 26621504 28669312 46587632 53243008 57338624 93175264 106486016 186350528 372701056 745402112