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45327828 = 223713231103
BaseRepresentation
bin1010110011101…
…0010111010100
310011021220002110
42230322113110
543100442303
64255311020
71060165050
oct254722724
9104256073
1045327828
112364a517
121321b470
139510900
14603cc60
153ea5703
hex2b3a5d4

45327828 has 144 divisors (see below), whose sum is σ = 136421376. Its totient is φ = 11456640.

The previous prime is 45327823. The next prime is 45327833. The reversal of 45327828 is 82872354.

It is an interprime number because it is at equal distance from previous prime (45327823) and next prime (45327833).

It is a super-2 number, since 2×453278282 = 4109223982395168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45327823) 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, 440025 + ... + 440127.

Almost surely, 245327828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45327828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68210688).

45327828 is an abundant number, since it is smaller than the sum of its proper divisors (91093548).

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

45327828 is a wasteful number, since it uses less digits than its factorization.

45327828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 45327828 is about 6732.5944479079. The cubic root of 45327828 is about 356.5509815904.

It can be divided in two parts, 4 and 5327828, that multiplied together give a palindrome (21311312).

The spelling of 45327828 in words is "forty-five million, three hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 103 124 156 169 182 186 206 217 273 309 338 364 372 403 412 434 507 546 618 651 676 721 806 868 1014 1092 1183 1209 1236 1302 1339 1442 1612 2028 2163 2366 2418 2604 2678 2821 2884 3193 3549 4017 4326 4732 4836 5239 5356 5642 6386 7098 8034 8463 8652 9373 9579 10478 11284 12772 14196 15717 16068 16926 17407 18746 19158 20956 22351 28119 31434 33852 34814 36673 37492 38316 41509 44702 52221 56238 62868 67053 69628 73346 83018 89404 104442 110019 112476 121849 124527 134106 146692 166036 208884 220038 243698 249054 268212 290563 365547 440076 487396 498108 539617 581126 731094 871689 1079234 1162252 1462188 1618851 1743378 2158468 3237702 3486756 3777319 6475404 7554638 11331957 15109276 22663914 45327828