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49695768 = 2334531447
BaseRepresentation
bin1011110110010…
…0110000011000
310110111210210000
42331210300120
5100210231033
64533053000
71142256423
oct275446030
9113453700
1049695768
1126063191
1214787160
13a3acaa5
1468589ba
154569a13
hex2f64c18

49695768 has 80 divisors (see below), whose sum is σ = 141918480. Its totient is φ = 16241472.

The previous prime is 49695757. The next prime is 49695787. The reversal of 49695768 is 86759694.

49695768 is a `hidden beast` number, since 4 + 9 + 69 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33621 + ... + 35067.

It is an arithmetic number, because the mean of its divisors is an integer number (1773981).

Almost surely, 249695768 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 49695768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70959240).

49695768 is an abundant number, since it is smaller than the sum of its proper divisors (92222712).

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

49695768 is a wasteful number, since it uses less digits than its factorization.

49695768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 49695768 is about 7049.5225370233. The cubic root of 49695768 is about 367.6544290583.

It can be divided in two parts, 496957 and 68, that added together give a square (497025 = 7052).

The spelling of 49695768 in words is "forty-nine million, six hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1447 1908 2862 2894 3816 4293 4341 5724 5788 8586 8682 11448 11576 13023 17172 17364 26046 34344 34728 39069 52092 76691 78138 104184 117207 153382 156276 230073 234414 306764 312552 460146 468828 613528 690219 920292 937656 1380438 1840584 2070657 2760876 4141314 5521752 6211971 8282628 12423942 16565256 24847884 49695768