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45555444 = 2232111767101
BaseRepresentation
bin1010110111000…
…1111011110100
310011201110022200
42231301323310
543130233234
64304224500
71062133464
oct255617364
9104643280
1045555444
1123795530
121330b130
1395903ac
14609bba4
153eecd99
hex2b71ef4

45555444 has 144 divisors (see below), whose sum is σ = 136334016. Its totient is φ = 12672000.

The previous prime is 45555437. The next prime is 45555449. The reversal of 45555444 is 44455554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45555399 and 45555408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45555449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450994 + ... + 451094.

It is an arithmetic number, because the mean of its divisors is an integer number (946764).

Almost surely, 245555444 is an apocalyptic number.

45555444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45555444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68167008).

45555444 is an abundant number, since it is smaller than the sum of its proper divisors (90778572).

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

45555444 is a wasteful number, since it uses less digits than its factorization.

45555444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its digits is 160000, while the sum is 36.

The square root of 45555444 is about 6749.4773130962. The cubic root of 45555444 is about 357.1467983717.

It can be divided in two parts, 4555 and 5444, that added together give a palindrome (9999).

The spelling of 45555444 in words is "forty-five million, five hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 67 68 99 101 102 132 134 153 187 198 201 202 204 268 303 306 374 396 402 404 561 603 606 612 737 748 804 909 1111 1122 1139 1206 1212 1474 1683 1717 1818 2211 2222 2244 2278 2412 2948 3333 3366 3417 3434 3636 4422 4444 4556 5151 6633 6666 6732 6767 6834 6868 8844 9999 10251 10302 12529 13266 13332 13534 13668 15453 18887 19998 20301 20502 20604 25058 26532 27068 30906 37587 37774 39996 40602 41004 50116 56661 60903 61812 74437 75174 75548 81204 112761 113322 115039 121806 148874 150348 169983 223311 225522 226644 230078 243612 297748 339966 345117 446622 451044 460156 669933 679932 690234 893244 1035351 1265429 1339866 1380468 2070702 2530858 2679732 3796287 4141404 5061716 7592574 11388861 15185148 22777722 45555444