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532448896 = 2772233691
BaseRepresentation
bin11111101111001…
…000011010000000
31101002220012120111
4133233020122000
52042301331041
6124500121104
716123512100
oct3757103200
91332805514
10532448896
1125360a811
1212a396194
1386406925
1450a01200
1531b27981
hex1fbc8680

532448896 has 96 divisors (see below), whose sum is σ = 1287917280. Its totient is φ = 218211840.

The previous prime is 532448893. The next prime is 532448909. The reversal of 532448896 is 698844235.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (532448893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142411 + ... + 146101.

It is an arithmetic number, because the mean of its divisors is an integer number (13415805).

Almost surely, 2532448896 is an apocalyptic number.

532448896 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 532448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643958640).

532448896 is an abundant number, since it is smaller than the sum of its proper divisors (755468384).

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

532448896 is a wasteful number, since it uses less digits than its factorization.

532448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3723 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 532448896 is about 23074.8541923887. The cubic root of 532448896 is about 810.5117408427.

The spelling of 532448896 in words is "five hundred thirty-two million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 322 368 392 448 644 736 784 896 1127 1288 1472 1568 2254 2576 2944 3136 3691 4508 5152 6272 7382 9016 10304 14764 18032 20608 25837 29528 36064 51674 59056 72128 84893 103348 118112 144256 169786 180859 206696 236224 339572 361718 413392 472448 594251 679144 723436 826784 1188502 1358288 1446872 1653568 2377004 2716576 2893744 3307136 4159757 4754008 5433152 5787488 8319514 9508016 10866304 11574976 16639028 19016032 23149952 33278056 38032064 66556112 76064128 133112224 266224448 532448896