Search a number
-
+
3922563645 = 3357111329027
BaseRepresentation
bin1110100111001101…
…1001001000111101
3101010100222212202000
43221303121020331
531013134014040
61445122052513
7166130145420
oct35163311075
911110885660
103922563645
111733204140
129157aa139
134a687b1a0
14292d579b7
1517e57b130
hexe9cd923d

3922563645 has 128 divisors (see below), whose sum is σ = 9363271680. Its totient is φ = 1504707840.

The previous prime is 3922563643. The next prime is 3922563653. The reversal of 3922563645 is 5463652293.

3922563645 is a `hidden beast` number, since 3 + 9 + 2 + 2 + 5 + 636 + 4 + 5 = 666.

It is not a de Polignac number, because 3922563645 - 21 = 3922563643 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 a self number, because there is not a number n which added to its sum of digits gives 3922563645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922563643) 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, 120622 + ... + 149648.

It is an arithmetic number, because the mean of its divisors is an integer number (73150560).

Almost surely, 23922563645 is an apocalyptic number.

3922563645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3922563645 is an abundant number, since it is smaller than the sum of its proper divisors (5440708035).

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

3922563645 is a wasteful number, since it uses less digits than its factorization.

3922563645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 29066 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 3922563645 is about 62630.3731826659. The cubic root of 3922563645 is about 1577.0906838774.

The spelling of 3922563645 in words is "three billion, nine hundred twenty-two million, five hundred sixty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 429 455 495 585 693 715 819 945 1001 1155 1287 1365 1485 1755 2079 2145 2457 3003 3465 3861 4095 5005 6435 9009 10395 12285 15015 19305 27027 29027 45045 87081 135135 145135 203189 261243 319297 377351 435405 609567 783729 957891 1015945 1132053 1306215 1596485 1828701 1886755 2235079 2641457 2873673 3047835 3396159 3918645 4150861 4789455 5486103 5660265 6705237 7924371 8621019 9143505 10188477 11175395 12452583 13207285 14368365 16980795 20115711 20754305 23773113 27430515 29056027 33526185 37357749 39621855 43105095 50942385 60347133 62262915 71319339 87168081 100578555 112073247 118865565 145280135 186788745 261504243 301735665 356596695 435840405 560366235 784512729 1307521215 3922563645