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69638496 = 2531973523
BaseRepresentation
bin1000010011010…
…01100101100000
311212001000001120
410021221211200
5120311412441
610524332240
71503626454
oct411514540
9155030046
1069638496
1136344484
121b3a4080
1311573115
14936a664
1561a8966
hex4269960

69638496 has 96 divisors (see below), whose sum is σ = 195431040. Its totient is φ = 21648384.

The previous prime is 69638473. The next prime is 69638497. The reversal of 69638496 is 69483696.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69638497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132891 + ... + 133413.

It is an arithmetic number, because the mean of its divisors is an integer number (2035740).

Almost surely, 269638496 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 69638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97715520).

69638496 is an abundant number, since it is smaller than the sum of its proper divisors (125792544).

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

69638496 is a wasteful number, since it uses less digits than its factorization.

69638496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 69638496 is about 8344.9683043137. The cubic root of 69638496 is about 411.4178474939.

The spelling of 69638496 in words is "sixty-nine million, six hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 523 584 608 876 912 1046 1168 1387 1569 1752 1824 2092 2336 2774 3138 3504 4161 4184 5548 6276 7008 8322 8368 9937 11096 12552 16644 16736 19874 22192 25104 29811 33288 38179 39748 44384 50208 59622 66576 76358 79496 114537 119244 133152 152716 158992 229074 238488 305432 317984 458148 476976 610864 725401 916296 953952 1221728 1450802 1832592 2176203 2901604 3665184 4352406 5803208 8704812 11606416 17409624 23212832 34819248 69638496