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52419528 = 2333737937
BaseRepresentation
bin1100011111110…
…1101111001000
310122122012002000
43013331233020
5101404411103
65111311000
71204362420
oct307755710
9118565060
1052419528
1127653627
121567b460
13ab24795
146d67480
154906aa3
hex31fdbc8

52419528 has 128 divisors (see below), whose sum is σ = 171091200. Its totient is φ = 14556672.

The previous prime is 52419503. The next prime is 52419529. The reversal of 52419528 is 82591425.

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 = 52419492 and 52419501.

It is not an unprimeable number, because it can be changed into a prime (52419529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55476 + ... + 56412.

It is an arithmetic number, because the mean of its divisors is an integer number (1336650).

Almost surely, 252419528 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 52419528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85545600).

52419528 is an abundant number, since it is smaller than the sum of its proper divisors (118671672).

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

52419528 is a wasteful number, since it uses less digits than its factorization.

52419528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52419528 is about 7240.1331479469. The cubic root of 52419528 is about 374.2522058014.

The spelling of 52419528 in words is "fifty-two million, four hundred nineteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 937 999 1036 1332 1512 1554 1874 1998 2072 2331 2664 2811 3108 3748 3996 4662 5622 6216 6559 6993 7496 7992 8433 9324 11244 13118 13986 16866 18648 19677 22488 25299 26236 27972 33732 34669 39354 50598 52472 55944 59031 67464 69338 78708 101196 104007 118062 138676 157416 177093 202392 208014 236124 242683 277352 312021 354186 416028 472248 485366 624042 708372 728049 832056 936063 970732 1248084 1416744 1456098 1872126 1941464 2184147 2496168 2912196 3744252 4368294 5824392 6552441 7488504 8736588 13104882 17473176 26209764 52419528