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5451435132 = 22311137940213
BaseRepresentation
bin1010001001110111…
…00100110001111100
3112001220211121010220
411010323210301330
542131031411012
62300535101340
7252043301613
oct50473446174
915056747126
105451435132
1123482139a0
121081811850
1368b53b880
1439a01487a
1521d8ca08c
hex144ee4c7c

5451435132 has 96 divisors (see below), whose sum is σ = 15133332480. Its totient is φ = 1505537280.

The previous prime is 5451435113. The next prime is 5451435149. The reversal of 5451435132 is 2315341545.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5451435093 and 5451435102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115458 + ... + 155670.

It is an arithmetic number, because the mean of its divisors is an integer number (157638880).

Almost surely, 25451435132 is an apocalyptic number.

5451435132 is a gapful number since it is divisible by the number (52) 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 5451435132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566666240).

5451435132 is an abundant number, since it is smaller than the sum of its proper divisors (9681897348).

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

5451435132 is a wasteful number, since it uses less digits than its factorization.

5451435132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40323 (or 40321 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 5451435132 is about 73833.8346017596. The cubic root of 5451435132 is about 1759.9633183643.

Adding to 5451435132 its reverse (2315341545), we get a palindrome (7766776677).

The spelling of 5451435132 in words is "five billion, four hundred fifty-one million, four hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1716 1738 2054 2607 3081 3476 4108 5214 6162 10428 11297 12324 22594 33891 40213 45188 67782 80426 120639 135564 160852 241278 442343 482556 522769 884686 1045538 1327029 1568307 1769372 2091076 2654058 3136614 3176827 5308116 5750459 6273228 6353654 9530481 11500918 12707308 17251377 19060962 23001836 34502754 34945097 38121924 41298751 69005508 69890194 82597502 104835291 123896253 139780388 165195004 209670582 247792506 419341164 454286261 495585012 908572522 1362858783 1817145044 2725717566 5451435132