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1332557406 = 234127239271
BaseRepresentation
bin100111101101101…
…0011011001011110
310102212102221010000
41033123103121132
510212113314111
6340121155130
745010360005
oct11733233136
93385387100
101332557406
11624215114
1231232baa6
131830c700b
14c8d97c3c
157bec1c56
hex4f6d365e

1332557406 has 80 divisors (see below), whose sum is σ = 3033169920. Its totient is φ = 437225040.

The previous prime is 1332557399. The next prime is 1332557407. The reversal of 1332557406 is 6047552331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332557407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4917051 + ... + 4917321.

It is an arithmetic number, because the mean of its divisors is an integer number (37914624).

Almost surely, 21332557406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332557406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516584960).

1332557406 is an abundant number, since it is smaller than the sum of its proper divisors (1700612514).

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

1332557406 is a wasteful number, since it uses less digits than its factorization.

1332557406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1332557406 is about 36504.2107982079. The cubic root of 1332557406 is about 1100.4288702350.

The spelling of 1332557406 in words is "one billion, three hundred thirty-two million, five hundred fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 239 254 271 381 478 542 717 762 813 1143 1434 1626 2151 2286 2439 3429 4302 4878 6453 6858 7317 10287 12906 14634 19359 20574 21951 30353 34417 38718 43902 60706 64769 68834 91059 103251 129538 182118 194307 206502 273177 309753 388614 546354 582921 619506 819531 929259 1165842 1639062 1748763 1858518 2458593 2787777 3497526 4917186 5246289 5575554 8225663 10492578 16451326 24676989 49353978 74030967 148061934 222092901 444185802 666278703 1332557406