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45342132 = 2231119101179
BaseRepresentation
bin1010110011110…
…1110110110100
310011022121201020
42230331312310
543101422012
64255501140
71060254543
oct254756664
9104277636
1045342132
112365a240
12132277b0
139517284
14604415a
153ea9a8c
hex2b3ddb4

45342132 has 96 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12816000.

The previous prime is 45342107. The next prime is 45342137. The reversal of 45342132 is 23124354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45342137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253219 + ... + 253397.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 245342132 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 45342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

45342132 is an abundant number, since it is smaller than the sum of its proper divisors (78037068).

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

45342132 is a wasteful number, since it uses less digits than its factorization.

45342132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 45342132 is about 6733.6566589038. The cubic root of 45342132 is about 356.5884829745.

Adding to 45342132 its reverse (23124354), we get a palindrome (68466486).

It can be divided in two parts, 4534 and 2132, that added together give a palindrome (6666).

The spelling of 45342132 in words is "forty-five million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 101 114 132 179 202 209 228 303 358 404 418 537 606 627 716 836 1074 1111 1212 1254 1919 1969 2148 2222 2508 3333 3401 3838 3938 4444 5757 5907 6666 6802 7676 7876 10203 11514 11814 13332 13604 18079 20406 21109 23028 23628 36158 37411 40812 42218 54237 63327 72316 74822 84436 108474 112233 126654 149644 198869 216948 224466 253308 343501 397738 448932 596607 687002 795476 1030503 1193214 1374004 2061006 2386428 3778511 4122012 7557022 11335533 15114044 22671066 45342132