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49346640 = 2432579791
BaseRepresentation
bin1011110000111…
…1100001010000
310102212001212100
42330033201100
5100113043030
64521400400
71136303520
oct274174120
9112761770
1049346640
1125944952
1214639100
13a2b9bc5
1467a7680
1544eb360
hex2f0f850

49346640 has 120 divisors (see below), whose sum is σ = 189416448. Its totient is φ = 11278080.

The previous prime is 49346623. The next prime is 49346651. The reversal of 49346640 is 4664394.

49346640 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 6 + 640 = 666.

49346640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 49346595 and 49346604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145 + ... + 9935.

Almost surely, 249346640 is an apocalyptic number.

49346640 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 49346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

49346640 is an abundant number, since it is smaller than the sum of its proper divisors (140069808).

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

49346640 is a wasteful number, since it uses less digits than its factorization.

49346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 49346640 is about 7024.7163643808. The cubic root of 49346640 is about 366.7914433005.

The spelling of 49346640 in words is "forty-nine million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9791 19582 29373 39164 48955 58746 68537 78328 88119 97910 117492 137074 146865 156656 176238 195820 205611 234984 274148 293730 342685 352476 391640 411222 440595 469968 548296 587460 616833 685370 704952 783280 822444 881190 1028055 1096592 1174920 1233666 1370740 1409904 1644888 1762380 2056110 2349840 2467332 2741480 3084165 3289776 3524760 4112220 4934664 5482960 6168330 7049520 8224440 9869328 12336660 16448880 24673320 49346640