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46749252 = 223111783251
BaseRepresentation
bin1011001001010…
…1011001000100
310020222002220210
42302111121010
543431434002
64345555420
71105235124
oct262253104
9106862823
1046749252
1124430450
12137a5b70
1398ba8a4
1462ccc84
15418696c
hex2c95644

46749252 has 96 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 13120000.

The previous prime is 46749239. The next prime is 46749257. The reversal of 46749252 is 25294764.

It is a self number, because there is not a number n which added to its sum of digits gives 46749252.

It is not an unprimeable number, because it can be changed into a prime (46749257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186127 + ... + 186377.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 246749252 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 46749252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

46749252 is an abundant number, since it is smaller than the sum of its proper divisors (81274812).

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

46749252 is a wasteful number, since it uses less digits than its factorization.

46749252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 46749252 is about 6837.3424661925. The cubic root of 46749252 is about 360.2396860619.

The spelling of 46749252 in words is "forty-six million, seven hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 251 332 374 498 502 561 748 753 913 996 1004 1122 1411 1506 1826 2244 2739 2761 2822 3012 3652 4233 4267 5478 5522 5644 8283 8466 8534 10956 11044 12801 15521 16566 16932 17068 20833 25602 31042 33132 41666 46563 46937 51204 62084 62499 83332 93126 93874 124998 140811 186252 187748 229163 249996 281622 354161 458326 563244 687489 708322 916652 1062483 1374978 1416644 2124966 2749956 3895771 4249932 7791542 11687313 15583084 23374626 46749252