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49669440 = 2635311669
BaseRepresentation
bin1011110101111…
…0010101000000
310110110110122220
42331132111000
5100203410230
64532331040
71142116602
oct275362500
9113413586
1049669440
1126045427
1214773a80
13a3a0b02
14684d172
154561d10
hex2f5e540

49669440 has 112 divisors (see below), whose sum is σ = 162885120. Its totient is φ = 12810240.

The previous prime is 49669379. The next prime is 49669453. The reversal of 49669440 is 4496694.

49669440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49669392 and 49669401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28926 + ... + 30594.

Almost surely, 249669440 is an apocalyptic number.

49669440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81442560).

49669440 is an abundant number, since it is smaller than the sum of its proper divisors (113215680).

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

49669440 is a wasteful number, since it uses less digits than its factorization.

49669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 49669440 is about 7047.6549291236. The cubic root of 49669440 is about 367.5894918342.

The spelling of 49669440 in words is "forty-nine million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1669 1860 1984 2480 2976 3338 3720 4960 5007 5952 6676 7440 8345 9920 10014 13352 14880 16690 20028 25035 26704 29760 33380 40056 50070 51739 53408 66760 80112 100140 103478 106816 133520 155217 160224 200280 206956 258695 267040 310434 320448 400560 413912 517390 534080 620868 776085 801120 827824 1034780 1241736 1552170 1602240 1655648 2069560 2483472 3104340 3311296 4139120 4966944 6208680 8278240 9933888 12417360 16556480 24834720 49669440