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46131696 = 243213191297
BaseRepresentation
bin1010111111111…
…0100111110000
310012210201210100
42233332213300
543302203241
64324432400
71100053512
oct257764760
9105721710
1046131696
1124049476
1213548700
139732780
1461abbb2
1540b39b6
hex2bfe9f0

46131696 has 120 divisors (see below), whose sum is σ = 146466320. Its totient is φ = 13436928.

The previous prime is 46131691. The next prime is 46131697. The reversal of 46131696 is 69613164.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46131696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46131691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34920 + ... + 36216.

Almost surely, 246131696 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 46131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73233160).

46131696 is an abundant number, since it is smaller than the sum of its proper divisors (100334624).

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

46131696 is a wasteful number, since it uses less digits than its factorization.

46131696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 46131696 is about 6792.0318020457. The cubic root of 46131696 is about 358.6463983117.

The spelling of 46131696 in words is "forty-six million, one hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1297 1368 1482 1872 1976 2223 2594 2736 2964 3891 3952 4446 5188 5928 7782 8892 10376 11673 11856 15564 16861 17784 20752 23346 24643 31128 33722 35568 46692 49286 50583 62256 67444 73929 93384 98572 101166 134888 147858 151749 186768 197144 202332 221787 269776 295716 303498 320359 394288 404664 443574 591432 606996 640718 809328 887148 961077 1182864 1213992 1281436 1774296 1922154 2427984 2562872 2883231 3548592 3844308 5125744 5766462 7688616 11532924 15377232 23065848 46131696