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196480752 = 24313253457
BaseRepresentation
bin10111011011000…
…00111011110000
3111200201020220220
423231200323300
5400244341002
631255133040
74604026116
oct1355407360
9450636826
10196480752
11a09a9996
1255974180
1331924500
141c147ab6
15123b17bc
hexbb60ef0

196480752 has 120 divisors (see below), whose sum is σ = 561218544. Its totient is φ = 59185152.

The previous prime is 196480703. The next prime is 196480813. The reversal of 196480752 is 257084691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429708 + ... + 430164.

Almost surely, 2196480752 is an apocalyptic number.

196480752 is a gapful number since it is divisible by the number (12) 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 196480752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280609272).

196480752 is an abundant number, since it is smaller than the sum of its proper divisors (364737792).

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

196480752 is a wasteful number, since it uses less digits than its factorization.

196480752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 196480752 is about 14017.1591986394. The cubic root of 196480752 is about 581.3531150625.

The spelling of 196480752 in words is "one hundred ninety-six million, four hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 169 208 212 312 318 338 424 457 507 624 636 676 689 848 914 1014 1272 1352 1371 1378 1828 2028 2067 2544 2704 2742 2756 3656 4056 4134 5484 5512 5941 7312 8112 8268 8957 10968 11024 11882 16536 17823 17914 21936 23764 24221 26871 33072 35646 35828 47528 48442 53742 71292 71656 72663 77233 95056 96884 107484 142584 143312 145326 154466 193768 214968 231699 285168 290652 308932 314873 387536 429936 463398 581304 617864 629746 926796 944619 1162608 1235728 1259492 1853592 1889238 2518984 3707184 3778476 4093349 5037968 7556952 8186698 12280047 15113904 16373396 24560094 32746792 49120188 65493584 98240376 196480752