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1352541645 = 3557132941
BaseRepresentation
bin101000010011110…
…0010010111001101
310111021001020100000
41100213202113031
510232222313040
6342113354513
745342262050
oct12047422715
93437036300
101352541645
11634524614
12318b68a39
131872a3200
14cb8baa97
157db1d130
hex509e25cd

1352541645 has 144 divisors (see below), whose sum is σ = 3011928192. Its totient is φ = 570136320.

The previous prime is 1352541599. The next prime is 1352541649. The reversal of 1352541645 is 5461452531.

1352541645 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 4 + 1 + 645 = 666.

It is not a de Polignac number, because 1352541645 - 28 = 1352541389 is a prime.

It is a super-3 number, since 3×13525416453 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352541649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1436875 + ... + 1437815.

It is an arithmetic number, because the mean of its divisors is an integer number (20916168).

Almost surely, 21352541645 is an apocalyptic number.

1352541645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352541645 is an abundant number, since it is smaller than the sum of its proper divisors (1659386547).

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

1352541645 is an equidigital number, since it uses as much as digits as its factorization.

1352541645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 969 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 1352541645 is about 36776.9172851668. The cubic root of 1352541645 is about 1105.9026073815.

The spelling of 1352541645 in words is "one billion, three hundred fifty-two million, five hundred forty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 169 189 195 243 273 315 351 405 455 507 567 585 819 845 941 945 1053 1183 1215 1365 1521 1701 1755 2457 2535 2823 2835 3159 3549 4095 4563 4705 5265 5915 6587 7371 7605 8469 8505 10647 12233 12285 13689 14115 15795 17745 19761 22113 22815 25407 31941 32935 36699 36855 41067 42345 53235 59283 61165 68445 76221 85631 95823 98805 110097 110565 127035 159029 159705 177849 183495 205335 228663 256893 287469 296415 330291 381105 428155 477087 479115 533547 550485 770679 795145 889245 990873 1113203 1143315 1284465 1431261 1437345 1600641 1651455 2312037 2385435 2667735 2972619 3339609 3853395 4293783 4954365 5566015 6936111 7156305 8003205 10018827 11560185 12881349 14863095 16698045 20808333 21468915 30056481 34680555 38644047 50094135 64406745 90169443 104041665 150282405 193220235 270508329 450847215 1352541645