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48826440 = 233251310433
BaseRepresentation
bin1011101001000…
…0100001001000
310101212122021200
42322100201020
544444421230
64502304200
71132006065
oct272204110
9111778250
1048826440
112561a033
1214428060
13a1671b0
1466adc6c
154447160
hex2e90848

48826440 has 96 divisors (see below), whose sum is σ = 170908920. Its totient is φ = 12017664.

The previous prime is 48826439. The next prime is 48826471. The reversal of 48826440 is 4462884.

48826440 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33942276 + 14884164 = 5826^2 + 3858^2 .

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 = 48826395 and 48826404.

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, 537 + ... + 9896.

Almost surely, 248826440 is an apocalyptic number.

48826440 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 48826440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85454460).

48826440 is an abundant number, since it is smaller than the sum of its proper divisors (122082480).

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

48826440 is a wasteful number, since it uses less digits than its factorization.

48826440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48826440 is about 6987.5918598613. The cubic root of 48826440 is about 365.4980128806.

The spelling of 48826440 in words is "forty-eight million, eight hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 10433 20866 31299 41732 52165 62598 83464 93897 104330 125196 135629 156495 187794 208660 250392 271258 312990 375588 406887 417320 469485 542516 625980 678145 751176 813774 938970 1085032 1220661 1251960 1356290 1627548 1877940 2034435 2441322 2712580 3255096 3755880 4068870 4882644 5425160 6103305 8137740 9765288 12206610 16275480 24413220 48826440