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49906512 = 24324179107
BaseRepresentation
bin1011111001100…
…0001101010000
310110220111212100
42332120031100
5100234002022
64541400400
71144125015
oct276301520
9113814770
1049906512
1126197557
1214869100
13a4549a6
1468b170c
1545ac1ac
hex2f98350

49906512 has 120 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 15874560.

The previous prime is 49906501. The next prime is 49906517. The reversal of 49906512 is 21560994.

It is a super-2 number, since 2×499065122 = 4981319880012288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49906517) 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, 466363 + ... + 466469.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 249906512 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 49906512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

49906512 is an abundant number, since it is smaller than the sum of its proper divisors (96334128).

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

49906512 is a wasteful number, since it uses less digits than its factorization.

49906512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49906512 is about 7064.4541190385. The cubic root of 49906512 is about 368.1733981198.

The spelling of 49906512 in words is "forty-nine million, nine hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 79 82 107 123 144 158 164 214 237 246 316 321 328 369 428 474 492 632 642 656 711 738 856 948 963 984 1264 1284 1422 1476 1712 1896 1926 1968 2568 2844 2952 3239 3792 3852 4387 5136 5688 5904 6478 7704 8453 8774 9717 11376 12956 13161 15408 16906 17548 19434 25359 25912 26322 29151 33812 35096 38868 39483 50718 51824 52644 58302 67624 70192 76077 77736 78966 101436 105288 116604 135248 152154 155472 157932 202872 210576 233208 304308 315864 346573 405744 466416 608616 631728 693146 1039719 1217232 1386292 2079438 2772584 3119157 4158876 5545168 6238314 8317752 12476628 16635504 24953256 49906512