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96763248 = 2434197379
BaseRepresentation
bin1011100010001…
…11110101110000
320202002002020000
411301013311300
5144232410443
613333550000
72253321411
oct561076560
9222062200
1096763248
114a69072a
12284a5300
131707c47a
14cbcb808
1587658d3
hex5c47d70

96763248 has 100 divisors (see below), whose sum is σ = 282225240. Its totient is φ = 32006016.

The previous prime is 96763211. The next prime is 96763253. The reversal of 96763248 is 84236769.

96763248 is a `hidden beast` number, since 9 + 6 + 7 + 632 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255123 + ... + 255501.

Almost surely, 296763248 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 96763248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112620).

96763248 is an abundant number, since it is smaller than the sum of its proper divisors (185461992).

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

96763248 is a wasteful number, since it uses less digits than its factorization.

96763248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 96763248 is about 9836.8311970878. The cubic root of 96763248 is about 459.0959686556.

The spelling of 96763248 in words is "ninety-six million, seven hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 197 216 324 379 394 432 591 648 758 788 1137 1182 1296 1516 1576 1773 2274 2364 3032 3152 3411 3546 4548 4728 5319 6064 6822 7092 9096 9456 10233 10638 13644 14184 15957 18192 20466 21276 27288 28368 30699 31914 40932 42552 54576 61398 63828 74663 81864 85104 122796 127656 149326 163728 223989 245592 255312 298652 447978 491184 597304 671967 895956 1194608 1343934 1791912 2015901 2687868 3583824 4031802 5375736 6047703 8063604 10751472 12095406 16127208 24190812 32254416 48381624 96763248