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196492608 = 2633138747
BaseRepresentation
bin10111011011000…
…11110101000000
3111200201212012000
423231203311000
5400300230413
631255304000
74604105514
oct1355436500
9450655160
10196492608
11a0a07894
125597b000
1331929a20
141c14c144
15123b5073
hexbb63d40

196492608 has 112 divisors (see below), whose sum is σ = 622157760. Its totient is φ = 60452352.

The previous prime is 196492591. The next prime is 196492619. The reversal of 196492608 is 806294691.

It is a happy number.

196492608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18091 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2196492608 is an apocalyptic number.

196492608 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 196492608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311078880).

196492608 is an abundant number, since it is smaller than the sum of its proper divisors (425665152).

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

196492608 is a wasteful number, since it uses less digits than its factorization.

196492608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 196492608 is about 14017.5821024883. The cubic root of 196492608 is about 581.3648081229.

It can be divided in two parts, 196 and 492608, that added together give a square (492804 = 7022).

The spelling of 196492608 in words is "one hundred ninety-six million, four hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 8747 11232 17494 22464 26241 34988 52482 69976 78723 104964 113711 139952 157446 209928 227422 236169 279904 314892 341133 419856 454844 472338 559808 629784 682266 839712 909688 944676 1023399 1259568 1364532 1679424 1819376 1889352 2046798 2519136 2729064 3070197 3638752 3778704 4093596 5038272 5458128 6140394 7277504 7557408 8187192 10916256 12280788 15114816 16374384 21832512 24561576 32748768 49123152 65497536 98246304 196492608