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196429248 = 2632397859
BaseRepresentation
bin10111011010101…
…00010111000000
3111200121122021100
423231110113000
5400241213443
631254054400
74603423011
oct1355242700
9450548240
10196429248
11a0974224
125594a400
1331906c32
141c133008
15123a13d3
hexbb545c0

196429248 has 84 divisors (see below), whose sum is σ = 565104280. Its totient is φ = 65235456.

The previous prime is 196429243. The next prime is 196429253. The reversal of 196429248 is 842924691.

It is an interprime number because it is at equal distance from previous prime (196429243) and next prime (196429253).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196429243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228243 + ... + 229101.

Almost surely, 2196429248 is an apocalyptic number.

196429248 is a gapful number since it is divisible by the number (18) 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 196429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282552140).

196429248 is an abundant number, since it is smaller than the sum of its proper divisors (368675032).

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

196429248 is a wasteful number, since it uses less digits than its factorization.

196429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 196429248 is about 14015.3219014049. The cubic root of 196429248 is about 581.3023134324.

The spelling of 196429248 in words is "one hundred ninety-six million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 397 576 794 859 1191 1588 1718 2382 2577 3176 3436 3573 4764 5154 6352 6872 7146 7731 9528 10308 12704 13744 14292 15462 19056 20616 25408 27488 28584 30924 38112 41232 54976 57168 61848 76224 82464 114336 123696 164928 228672 247392 341023 494784 682046 1023069 1364092 2046138 2728184 3069207 4092276 5456368 6138414 8184552 10912736 12276828 16369104 21825472 24553656 32738208 49107312 65476416 98214624 196429248