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46668132 = 223271091699
BaseRepresentation
bin1011001000000…
…1100101100100
310020210222122100
42302001211210
543421340012
64344132100
71104446460
oct262014544
9106728570
1046668132
1124385505
1213767030
13988c9a4
1462ab4a0
15416c8dc
hex2c81964

46668132 has 72 divisors (see below), whose sum is σ = 136136000. Its totient is φ = 13203648.

The previous prime is 46668131. The next prime is 46668151. The reversal of 46668132 is 23186664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46668131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26619 + ... + 28317.

Almost surely, 246668132 is an apocalyptic number.

46668132 is a gapful number since it is divisible by the number (42) 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 46668132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68068000).

46668132 is an abundant number, since it is smaller than the sum of its proper divisors (89467868).

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

46668132 is a wasteful number, since it uses less digits than its factorization.

46668132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1820 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46668132 is about 6831.4077612158. The cubic root of 46668132 is about 360.0312009995.

The spelling of 46668132 in words is "forty-six million, six hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1699 1962 2289 3052 3398 3924 4578 5097 6796 6867 9156 10194 11893 13734 15291 20388 23786 27468 30582 35679 47572 61164 71358 107037 142716 185191 214074 370382 428148 555573 740764 1111146 1296337 1666719 2222292 2592674 3333438 3889011 5185348 6666876 7778022 11667033 15556044 23334066 46668132