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53996040 = 23325723061
BaseRepresentation
bin1100110111111…
…0101000001000
310202121021122100
43031332220020
5102310333130
65205153400
71223646600
oct315765010
9122537570
1053996040
112853002a
12160bb860
13b257227
147257c00
154b18c60
hex337ea08

53996040 has 144 divisors (see below), whose sum is σ = 204204780. Its totient is φ = 12337920.

The previous prime is 53996021. The next prime is 53996051. The reversal of 53996040 is 4069935.

53996040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 2414916 = 7182^2 + 1554^2 .

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 = 53995986 and 53996004.

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 35 ways as a sum of consecutive naturals, for example, 16110 + ... + 19170.

Almost surely, 253996040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102390).

53996040 is an abundant number, since it is smaller than the sum of its proper divisors (150208740).

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

53996040 is a wasteful number, since it uses less digits than its factorization.

53996040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 53996040 is about 7348.1997795378. The cubic root of 53996040 is about 377.9670753216.

The spelling of 53996040 in words is "fifty-three million, nine hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3061 3528 4410 5880 6122 8820 9183 12244 15305 17640 18366 21427 24488 27549 30610 36732 42854 45915 55098 61220 64281 73464 85708 91830 107135 110196 122440 128562 137745 149989 171416 183660 192843 214270 220392 257124 275490 299978 321405 367320 385686 428540 449967 514248 550980 599956 642810 749945 771372 857080 899934 964215 1101960 1199912 1285620 1349901 1499890 1542744 1799868 1928430 2249835 2571240 2699802 2999780 3599736 3856860 4499670 5399604 5999560 6749505 7713720 8999340 10799208 13499010 17998680 26998020 53996040