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745338825 = 325271123911
BaseRepresentation
bin101100011011001…
…111011111001001
31220221111010122200
4230123033133021
53011301320300
6201543110413
724320163330
oct5433173711
91827433580
10745338825
113527a7100
12189742409
13bb554cba
1470dbad17
154567b200
hex2c6cf7c9

745338825 has 108 divisors (see below), whose sum is σ = 1677434304. Its totient is φ = 309672000.

The previous prime is 745338793. The next prime is 745338829. The reversal of 745338825 is 528833547.

It is not a de Polignac number, because 745338825 - 25 = 745338793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (745338829) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 188620 + ... + 192530.

Almost surely, 2745338825 is an apocalyptic number.

745338825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

745338825 is an abundant number, since it is smaller than the sum of its proper divisors (932095479).

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

745338825 is a wasteful number, since it uses less digits than its factorization.

745338825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3937 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 745338825 is about 27300.8942161241. The cubic root of 745338825 is about 906.6741798655.

The spelling of 745338825 in words is "seven hundred forty-five million, three hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 121 165 175 225 231 275 315 363 385 495 525 605 693 825 847 1089 1155 1575 1815 1925 2475 2541 3025 3465 3911 4235 5445 5775 7623 9075 11733 12705 17325 19555 21175 27225 27377 35199 38115 43021 58665 63525 82131 97775 129063 136885 175995 190575 215105 246393 293325 301147 387189 410655 473231 645315 684425 879975 903441 1075525 1231965 1419693 1505735 1935945 2053275 2366155 2710323 3226575 3312617 4259079 4517205 6159825 7098465 7528675 9679725 9937851 11830775 13551615 16563085 21295395 22586025 29813553 35492325 49689255 67758075 82815425 106476975 149067765 248446275 745338825