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996965248 = 2729419641
BaseRepresentation
bin111011011011000…
…111101110000000
32120110222002012211
4323123013232000
54020210341443
6242532231504
733464031136
oct7333075600
92513862184
10996965248
11471840824
12239a6b594
1312b716a86
149659b756
155c7d219d
hex3b6c7b80

996965248 has 64 divisors (see below), whose sum is σ = 2062746000. Its totient is φ = 479395840.

The previous prime is 996965237. The next prime is 996965257. The reversal of 996965248 is 842569699.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 996965192 and 996965201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555008 + ... + 1555648.

Almost surely, 2996965248 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 996965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031373000).

996965248 is an abundant number, since it is smaller than the sum of its proper divisors (1065780752).

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

996965248 is a wasteful number, since it uses less digits than its factorization.

996965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1091 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The square root of 996965248 is about 31574.7564994570. The cubic root of 996965248 is about 998.9873909691.

The spelling of 996965248 in words is "nine hundred ninety-six million, nine hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 419 464 641 838 928 1282 1676 1856 2564 3352 3712 5128 6704 10256 12151 13408 18589 20512 24302 26816 37178 41024 48604 53632 74356 82048 97208 148712 194416 268579 297424 388832 537158 594848 777664 1074316 1189696 1555328 2148632 2379392 4297264 7788791 8594528 15577582 17189056 31155164 34378112 62310328 124620656 249241312 498482624 996965248