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196481472 = 26311313001
BaseRepresentation
bin10111011011000…
…01000111000000
3111200201021220120
423231201013000
5400244401342
631255140240
74604031165
oct1355410700
9450637816
10196481472
11a09aa490
1255974680
1331924935
141c14806c
15123b1aec
hexbb611c0

196481472 has 112 divisors (see below), whose sum is σ = 585606144. Its totient is φ = 57600000.

The previous prime is 196481449. The next prime is 196481497. The reversal of 196481472 is 274184691.

196481472 is digitally balanced in base 3, 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, 63972 + ... + 66972.

Almost surely, 2196481472 is an apocalyptic number.

196481472 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 196481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292803072).

196481472 is an abundant number, since it is smaller than the sum of its proper divisors (389124672).

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

196481472 is a wasteful number, since it uses less digits than its factorization.

196481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 196481472 is about 14017.1848814232. The cubic root of 196481472 is about 581.3538251808.

It can be divided in two parts, 1964 and 81472, that added together give a triangular number (83436 = T408).

The spelling of 196481472 in words is "one hundred ninety-six million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 3001 4092 5456 5952 6002 8184 9003 10912 12004 16368 18006 21824 24008 32736 33011 36012 48016 65472 66022 72024 93031 96032 99033 132044 144048 186062 192064 198066 264088 279093 288096 372124 396132 528176 558186 576192 744248 792264 1023341 1056352 1116372 1488496 1584528 2046682 2112704 2232744 2976992 3070023 3169056 4093364 4465488 5953984 6140046 6338112 8186728 8930976 12280092 16373456 17861952 24560184 32746912 49120368 65493824 98240736 196481472