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4002872445 = 33511131712197
BaseRepresentation
bin1110111010010110…
…1111110001111101
3101022222002222201000
43232211233301331
531144213404240
61501111240513
7201123566025
oct35645576175
911288088630
104002872445
111774576350
12938679139
134ba3b8ca0
1429d8a0a85
15186641430
hexee96fc7d

4002872445 has 128 divisors (see below), whose sum is σ = 8852820480. Its totient is φ = 1685975040.

The previous prime is 4002872441. The next prime is 4002872561. The reversal of 4002872445 is 5442782004.

4002872445 is a `hidden beast` number, since 400 + 2 + 8 + 7 + 244 + 5 = 666.

It is not a de Polignac number, because 4002872445 - 22 = 4002872441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002872441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322087 + ... + 334283.

It is an arithmetic number, because the mean of its divisors is an integer number (69162660).

Almost surely, 24002872445 is an apocalyptic number.

4002872445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002872445 is an abundant number, since it is smaller than the sum of its proper divisors (4849948035).

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

4002872445 is a wasteful number, since it uses less digits than its factorization.

4002872445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4002872445 is about 63268.2577996265. The cubic root of 4002872445 is about 1587.7809379005.

The spelling of 4002872445 in words is "four billion, two million, eight hundred seventy-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 13 15 17 27 33 39 45 51 55 65 85 99 117 135 143 153 165 187 195 221 255 297 351 429 459 495 561 585 663 715 765 935 1105 1287 1485 1683 1755 1989 2145 2295 2431 2805 3315 3861 5049 5967 6435 7293 8415 9945 12155 12197 19305 21879 25245 29835 36465 36591 60985 65637 109395 109773 134167 158561 182955 207349 328185 329319 402501 475683 548865 622047 670835 792805 1036745 1207503 1427049 1646595 1744171 1866141 2012505 2280839 2378415 2695537 3110235 3622509 4281147 5232513 5598423 6037515 6842517 7135245 8086611 8720855 9330705 11404195 13477685 15697539 18112545 20527551 21405735 24259833 26162565 27992115 29650907 34212585 40433055 47092617 61582653 72779499 78487695 88952721 102637755 121299165 148254535 235463085 266858163 307913265 363897495 444763605 800574489 1334290815 4002872445