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49429440 = 263451907
BaseRepresentation
bin1011110010001…
…1101111000000
310110000021110000
42330203233000
5100123220230
64523240000
71140100104
oct274435700
9113007400
1049429440
11259a1085
1214679000
13a3187b8
1467c9904
154515b60
hex2f23bc0

49429440 has 140 divisors (see below), whose sum is σ = 175921416. Its totient is φ = 13174272.

The previous prime is 49429379. The next prime is 49429441. The reversal of 49429440 is 4492494.

It is a happy number.

49429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 49429395 and 49429404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49429441) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24967 + ... + 26873.

Almost surely, 249429440 is an apocalyptic number.

49429440 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 49429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960708).

49429440 is an abundant number, since it is smaller than the sum of its proper divisors (126491976).

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

49429440 is a wasteful number, since it uses less digits than its factorization.

49429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49429440 is about 7030.6073706331. The cubic root of 49429440 is about 366.9964782730.

The spelling of 49429440 in words is "forty-nine million, four hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 1907 2160 2592 2880 3240 3814 4320 5184 5721 6480 7628 8640 9535 11442 12960 15256 17163 19070 22884 25920 28605 30512 34326 38140 45768 51489 57210 61024 68652 76280 85815 91536 102978 114420 122048 137304 152560 154467 171630 183072 205956 228840 257445 274608 305120 308934 343260 366144 411912 457680 514890 549216 610240 617868 686520 772335 823824 915360 1029780 1098432 1235736 1373040 1544670 1647648 1830720 2059560 2471472 2746080 3089340 3295296 4119120 4942944 5492160 6178680 8238240 9885888 12357360 16476480 24714720 49429440