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52919640 = 23325178647
BaseRepresentation
bin1100100111011…
…1110101011000
310200120121002200
43021313311120
5102021412030
65130130200
71211544444
oct311676530
9120517080
1052919640
1127965344
1215880960
13ac6b2c7
147057824
1549a4d60
hex3277d58

52919640 has 96 divisors (see below), whose sum is σ = 182126880. Its totient is φ = 13280256.

The previous prime is 52919639. The next prime is 52919653. The reversal of 52919640 is 4691925.

52919640 is a `hidden beast` number, since 5 + 2 + 9 + 1 + 9 + 640 = 666.

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 = 52919595 and 52919604.

It is a congruent number.

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, 1797 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (1897155).

Almost surely, 252919640 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 52919640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91063440).

52919640 is an abundant number, since it is smaller than the sum of its proper divisors (129207240).

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

52919640 is a wasteful number, since it uses less digits than its factorization.

52919640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 52919640 is about 7274.5886481642. The cubic root of 52919640 is about 375.4386334019.

The spelling of 52919640 in words is "fifty-two million, nine hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 8647 17294 25941 34588 43235 51882 69176 77823 86470 103764 129705 146999 155646 172940 207528 259410 293998 311292 345880 389115 440997 518820 587996 622584 734995 778230 881994 1037640 1175992 1322991 1469990 1556460 1763988 2204985 2645982 2939980 3112920 3527976 4409970 5291964 5879960 6614955 8819940 10583928 13229910 17639880 26459820 52919640