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49453920 = 2532561563
BaseRepresentation
bin1011110010100…
…1101101100000
310110001112000200
42330221231200
5100130011140
64523545200
71140231345
oct274515540
9113045020
1049453920
1125a0850a
121468b200
13a326999
1467d47cc
15451d030
hex2f29b60

49453920 has 144 divisors (see below), whose sum is σ = 171832752. Its totient is φ = 12948480.

The previous prime is 49453919. The next prime is 49453951. The reversal of 49453920 is 2935494.

49453920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 87559 + ... + 88121.

It is an arithmetic number, because the mean of its divisors is an integer number (1193283).

Almost surely, 249453920 is an apocalyptic number.

49453920 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 49453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85916376).

49453920 is an abundant number, since it is smaller than the sum of its proper divisors (122378832).

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

49453920 is a wasteful number, since it uses less digits than its factorization.

49453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 49453920 is about 7032.3481142503. The cubic root of 49453920 is about 367.0570534489.

The spelling of 49453920 in words is "forty-nine million, four hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 563 610 720 732 915 976 1098 1126 1220 1440 1464 1689 1830 1952 2196 2252 2440 2745 2815 2928 3378 3660 4392 4504 4880 5067 5490 5630 5856 6756 7320 8445 8784 9008 9760 10134 10980 11260 13512 14640 16890 17568 18016 20268 21960 22520 25335 27024 29280 33780 34343 40536 43920 45040 50670 54048 67560 68686 81072 87840 90080 101340 103029 135120 137372 162144 171715 202680 206058 270240 274744 309087 343430 405360 412116 515145 549488 618174 686860 810720 824232 1030290 1098976 1236348 1373720 1545435 1648464 2060580 2472696 2747440 3090870 3296928 4121160 4945392 5494880 6181740 8242320 9890784 12363480 16484640 24726960 49453920