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46449942 = 23721153271
BaseRepresentation
bin1011000100110…
…0010100010110
310020101220100020
42301030110112
543342344232
64335330010
71102550400
oct261142426
9106356306
1046449942
1124246590
1213680906
139814596
146251b70
154127e2c
hex2c4c516

46449942 has 96 divisors (see below), whose sum is σ = 120559104. Its totient is φ = 11793600.

The previous prime is 46449941. The next prime is 46449943. The reversal of 46449942 is 24994464.

It is an interprime number because it is at equal distance from previous prime (46449941) and next prime (46449943).

It is a super-2 number, since 2×464499422 = 4315194223606728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46449894 and 46449903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46449941) 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 47 ways as a sum of consecutive naturals, for example, 171267 + ... + 171537.

It is an arithmetic number, because the mean of its divisors is an integer number (1255824).

Almost surely, 246449942 is an apocalyptic number.

46449942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46449942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60279552).

46449942 is an abundant number, since it is smaller than the sum of its proper divisors (74109162).

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

46449942 is a wasteful number, since it uses less digits than its factorization.

46449942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 46449942 is about 6815.4194294996. The cubic root of 46449942 is about 359.4692332797.

The spelling of 46449942 in words is "forty-six million, four hundred forty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 147 154 159 231 271 294 318 371 462 539 542 583 742 813 1078 1113 1166 1617 1626 1749 1897 2226 2597 2981 3234 3498 3794 4081 5194 5691 5962 7791 8162 8943 11382 12243 13279 14363 15582 17886 20867 24486 26558 28567 28726 39837 41734 43089 57134 62601 79674 85701 86178 100541 125202 146069 157993 171402 201082 292138 301623 315986 438207 473979 603246 703787 876414 947958 1105951 1407574 2111361 2211902 3317853 4222722 6635706 7741657 15483314 23224971 46449942