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46112136 = 23372113347
BaseRepresentation
bin1010111111100…
…1110110001000
310012202201221220
42233321312020
543301042021
64324202040
71066642500
oct257716610
9105681856
1046112136
1124035804
1213539320
1397268b5
1461a4a00
1540accc6
hex2bf9d88

46112136 has 96 divisors (see below), whose sum is σ = 135678240. Its totient is φ = 13020672.

The previous prime is 46112111. The next prime is 46112137. The reversal of 46112136 is 63121164.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (46112137) 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, 132715 + ... + 133061.

It is an arithmetic number, because the mean of its divisors is an integer number (1413315).

Almost surely, 246112136 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 46112136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67839120).

46112136 is an abundant number, since it is smaller than the sum of its proper divisors (89566104).

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

46112136 is a wasteful number, since it uses less digits than its factorization.

46112136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 46112136 is about 6790.5917267938. The cubic root of 46112136 is about 358.5957020380.

Subtracting 46112136 from its reverse (63121164), we obtain a triangular number (17009028 = T5832).

The spelling of 46112136 in words is "forty-six million, one hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 113 147 168 196 226 294 339 347 392 452 588 678 694 791 904 1041 1176 1356 1388 1582 2082 2373 2429 2712 2776 3164 4164 4746 4858 5537 6328 7287 8328 9492 9716 11074 14574 16611 17003 18984 19432 22148 29148 33222 34006 39211 44296 51009 58296 66444 68012 78422 102018 117633 132888 136024 156844 204036 235266 274477 313688 408072 470532 548954 823431 941064 1097908 1646862 1921339 2195816 3293724 3842678 5764017 6587448 7685356 11528034 15370712 23056068 46112136