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745956640 = 255111332603
BaseRepresentation
bin101100011101100…
…110010100100000
31220222122112010201
4230131212110200
53011431103030
6202004234544
724325345462
oct5435462440
91828575121
10745956640
113530892a0
1218999ba54
13bb710280
14710dc132
154574e2ca
hex2c766520

745956640 has 96 divisors (see below), whose sum is σ = 2070484416. Its totient is φ = 250383360.

The previous prime is 745956613. The next prime is 745956649. The reversal of 745956640 is 46659547.

It is not an unprimeable number, because it can be changed into a prime (745956649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6579 + ... + 39181.

It is an arithmetic number, because the mean of its divisors is an integer number (21567546).

Almost surely, 2745956640 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 745956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035242208).

745956640 is an abundant number, since it is smaller than the sum of its proper divisors (1324527776).

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

745956640 is a wasteful number, since it uses less digits than its factorization.

745956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32642 (or 32634 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 745956640 is about 27312.2067947649. The cubic root of 745956640 is about 906.9246262346.

The spelling of 745956640 in words is "seven hundred forty-five million, nine hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 32603 65206 130412 163015 260824 326030 358633 423839 521648 652060 717266 847678 1043296 1304120 1434532 1695356 1793165 2119195 2608240 2869064 3390712 3586330 4238390 4662229 5216480 5738128 6781424 7172660 8476780 9324458 11476256 13562848 14345320 16953560 18648916 23311145 28690640 33907120 37297832 46622290 57381280 67814240 74595664 93244580 149191328 186489160 372978320 745956640