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54400040 = 23519312309
BaseRepresentation
bin1100111110000…
…1010000101000
310210100210211022
43033201100220
5102411300130
65221552012
71230251462
oct317412050
9123323738
1054400040
1128786612
1216275608
13b369096
147321132
154b987e5
hex33e1428

54400040 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 19941120.

The previous prime is 54400039. The next prime is 54400057. The reversal of 54400040 is 4000445.

It is a junction number, because it is equal to n+sod(n) for n = 54399991 and 54400018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22406 + ... + 24714.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 254400040 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 54400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

54400040 is an abundant number, since it is smaller than the sum of its proper divisors (78655960).

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

54400040 is a wasteful number, since it uses less digits than its factorization.

54400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54400040 is about 7375.6382774645. The cubic root of 54400040 is about 378.9073877438.

Adding to 54400040 its reverse (4000445), we get a palindrome (58400485).

The spelling of 54400040 in words is "fifty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2309 2356 2945 4618 4712 5890 9236 11545 11780 18472 23090 23560 43871 46180 71579 87742 92360 143158 175484 219355 286316 350968 357895 438710 572632 715790 877420 1360001 1431580 1754840 2720002 2863160 5440004 6800005 10880008 13600010 27200020 54400040