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1188028485 = 335719127521
BaseRepresentation
bin100011011001111…
…1110000001000101
310001210111002201000
41012303332001011
54413113402420
6313515323513
741304034620
oct10663760105
93053432630
101188028485
1155a67a426
12291a50599
1315c192447
14b3ad4db7
156e473690
hex46cfe045

1188028485 has 128 divisors (see below), whose sum is σ = 2565734400. Its totient is φ = 509483520.

The previous prime is 1188028483. The next prime is 1188028487. The reversal of 1188028485 is 5848208811.

It is an interprime number because it is at equal distance from previous prime (1188028483) and next prime (1188028487).

It is not a de Polignac number, because 1188028485 - 21 = 1188028483 is a prime.

It is a super-2 number, since 2×11880284852 = 2822823362342790450, which contains 22 as substring.

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 1188028485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188028483) 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, 2280025 + ... + 2280545.

It is an arithmetic number, because the mean of its divisors is an integer number (20044800).

Almost surely, 21188028485 is an apocalyptic number.

1188028485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1188028485 is an abundant number, since it is smaller than the sum of its proper divisors (1377705915).

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

1188028485 is a wasteful number, since it uses less digits than its factorization.

1188028485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 1188028485 is about 34467.7890935871. The cubic root of 1188028485 is about 1059.1129653427.

The spelling of 1188028485 in words is "one billion, one hundred eighty-eight million, twenty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 127 133 135 171 189 285 315 381 399 513 521 635 665 855 889 945 1143 1197 1563 1905 1995 2413 2565 2605 2667 3429 3591 3647 4445 4689 5715 5985 7239 7815 8001 9899 10941 12065 13335 14067 16891 17145 17955 18235 21717 23445 24003 29697 32823 36195 40005 49495 50673 54705 65151 66167 69293 70335 84455 89091 98469 108585 120015 148485 152019 164115 198501 207879 253365 267273 325755 330835 346465 445455 456057 463169 492345 595503 623637 760095 992505 1039395 1257173 1336365 1389507 1786509 1870911 2280285 2315845 2977515 3118185 3771519 4168521 6285865 6947535 8800211 8932545 9354555 11314557 12505563 18857595 20842605 26400633 33943671 44001055 56572785 62527815 79201899 132003165 169718355 237605697 396009495 1188028485