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3782250675 = 3252719971303
BaseRepresentation
bin1110000101110000…
…1001000010110011
3100202120222020112100
43201130021002303
530221224010200
61423150431443
7162504412620
oct34134110263
910676866470
103782250675
111670a88a05
12896802583
13483791568
1427c471347
151720b1d00
hexe17090b3

3782250675 has 144 divisors (see below), whose sum is σ = 8240028160. Its totient is φ = 1619896320.

The previous prime is 3782250629. The next prime is 3782250683. The reversal of 3782250675 is 5760522873.

3782250675 is a `hidden beast` number, since 3 + 78 + 2 + 2 + 506 + 75 = 666.

It is not a de Polignac number, because 3782250675 - 26 = 3782250611 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3782250675.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2902074 + ... + 2903376.

Almost surely, 23782250675 is an apocalyptic number.

3782250675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3782250675 is an abundant number, since it is smaller than the sum of its proper divisors (4457777485).

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

3782250675 is a wasteful number, since it uses less digits than its factorization.

3782250675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3782250675 is about 61500.0054878046. The cubic root of 3782250675 is about 1558.0573389670.

The spelling of 3782250675 in words is "three billion, seven hundred eighty-two million, two hundred fifty thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 97 105 133 171 175 225 285 291 315 399 475 485 525 665 679 855 873 1197 1303 1425 1455 1575 1843 1995 2037 2425 3325 3395 3909 4275 4365 5529 5985 6111 6515 7275 9121 9215 9975 10185 11727 12901 16587 16975 19545 21825 24757 27363 27645 29925 30555 32575 38703 45605 46075 50925 58635 64505 74271 82089 82935 97725 116109 123785 126391 136815 138225 152775 173299 193515 222813 228025 293175 322525 371355 379173 410445 414675 519897 580545 618925 631955 684075 866495 884737 967575 1114065 1137519 1559691 1856775 1895865 2052225 2401429 2599485 2654211 2902725 3159775 4332475 4423685 5570325 5687595 7204287 7798455 7962633 9479325 12007145 12997425 13271055 16810003 21612861 22118425 28437975 36021435 38992275 39813165 50430009 60035725 66355275 84050015 108064305 151290027 180107175 199065825 252150045 420250075 540321525 756450135 1260750225 3782250675