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46742472 = 23327213249
BaseRepresentation
bin1011001001001…
…1101111001000
310020221202121200
42302103233020
543431224342
64345504200
71105206300
oct262235710
9106852550
1046742472
1124426347
12137a2060
1398b778a
1462ca600
15418494c
hex2c93bc8

46742472 has 72 divisors (see below), whose sum is σ = 147273750. Its totient is φ = 13353984.

The previous prime is 46742459. The next prime is 46742473. The reversal of 46742472 is 27424764.

It is a happy number.

46742472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43480836 + 3261636 = 6594^2 + 1806^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (46742473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3097 + ... + 10152.

Almost surely, 246742472 is an apocalyptic number.

46742472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46742472 is an abundant number, since it is smaller than the sum of its proper divisors (100531278).

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

46742472 is a wasteful number, since it uses less digits than its factorization.

46742472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13261 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 46742472 is about 6836.8466415446. The cubic root of 46742472 is about 360.2222701458. Note that the first 4 decimals are identical.

It can be divided in two parts, 4 and 6742472, that added together give a palindrome (6742476).

The spelling of 46742472 in words is "forty-six million, seven hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 13249 26498 39747 52996 79494 92743 105992 119241 158988 185486 238482 278229 317976 370972 476964 556458 649201 741944 834687 953928 1112916 1298402 1669374 1947603 2225832 2596804 3338748 3895206 5193608 5842809 6677496 7790412 11685618 15580824 23371236 46742472