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532100296 = 237134117827
BaseRepresentation
bin11111101101110…
…011010011001000
31101002020111101101
4133231303103020
52042204202141
6124444431144
716120530550
oct3755632310
91332214341
10532100296
112533a1912
1212a2484b4
1386314060
1450950160
1531aa9531
hex1fb734c8

532100296 has 64 divisors (see below), whose sum is σ = 1257943680. Its totient is φ = 205355520.

The previous prime is 532100273. The next prime is 532100321. The reversal of 532100296 is 692001235.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20935 + ... + 38761.

It is an arithmetic number, because the mean of its divisors is an integer number (19655370).

Almost surely, 2532100296 is an apocalyptic number.

532100296 is a gapful number since it is divisible by the number (56) 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 532100296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628971840).

532100296 is an abundant number, since it is smaller than the sum of its proper divisors (725843384).

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

532100296 is a wasteful number, since it uses less digits than its factorization.

532100296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 532100296 is about 23067.2992784158. The cubic root of 532100296 is about 810.3348186511.

The spelling of 532100296 in words is "five hundred thirty-two million, one hundred thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 533 574 728 1066 1148 2132 2296 3731 4264 7462 14924 17827 29848 35654 71308 124789 142616 231751 249578 463502 499156 730907 927004 998312 1461814 1622257 1854008 2923628 3244514 5116349 5847256 6489028 9501791 10232698 12978056 19003582 20465396 38007164 40930792 66512537 76014328 133025074 266050148 532100296