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46424144 = 24131719691
BaseRepresentation
bin1011000100011…
…0000001010000
310020100120221202
42301012001100
543341033034
64335010332
71102412234
oct261060120
9106316852
1046424144
1124229168
12136699a8
139805910
1462465c4
15412047e
hex2c46050

46424144 has 80 divisors (see below), whose sum is σ = 108118080. Its totient is φ = 19077120.

The previous prime is 46424137. The next prime is 46424149. The reversal of 46424144 is 44142464.

It is a super-2 number, since 2×464241442 = 4310402292265472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46424149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66839 + ... + 67529.

It is an arithmetic number, because the mean of its divisors is an integer number (1351476).

Almost surely, 246424144 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 46424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54059040).

46424144 is an abundant number, since it is smaller than the sum of its proper divisors (61693936).

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

46424144 is a wasteful number, since it uses less digits than its factorization.

46424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 46424144 is about 6813.5265465103. The cubic root of 46424144 is about 359.4026719864.

The spelling of 46424144 in words is "forty-six million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 304 323 442 494 646 691 884 988 1292 1382 1768 1976 2584 2764 3536 3952 4199 5168 5528 8398 8983 11056 11747 13129 16796 17966 23494 26258 33592 35932 46988 52516 67184 71864 93976 105032 143728 152711 170677 187952 210064 223193 305422 341354 446386 610844 682708 892772 1221688 1365416 1785544 2443376 2730832 2901509 3571088 5803018 11606036 23212072 46424144