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196471872 = 2633671697
BaseRepresentation
bin10111011010111…
…10110001000000
3111200200210202000
423231132301000
5400244044442
631255024000
74603661202
oct1355366100
9450623660
10196471872
11a09a3253
125596b000
133192045c
141c144772
15123add4c
hexbb5ec40

196471872 has 112 divisors (see below), whose sum is σ = 586557120. Its totient is φ = 64475136.

The previous prime is 196471867. The next prime is 196471879. The reversal of 196471872 is 278174691.

It is a happy number.

196471872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196471879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114928 + ... + 116624.

Almost surely, 2196471872 is an apocalyptic number.

196471872 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 196471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293278560).

196471872 is an abundant number, since it is smaller than the sum of its proper divisors (390085248).

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

196471872 is a wasteful number, since it uses less digits than its factorization.

196471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 196471872 is about 14016.8424404357. The cubic root of 196471872 is about 581.3443567942.

The spelling of 196471872 in words is "one hundred ninety-six million, four hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 536 576 603 804 864 1072 1206 1608 1697 1728 1809 2144 2412 3216 3394 3618 4288 4824 5091 6432 6788 7236 9648 10182 12864 13576 14472 15273 19296 20364 27152 28944 30546 38592 40728 45819 54304 57888 61092 81456 91638 108608 113699 115776 122184 162912 183276 227398 244368 325824 341097 366552 454796 488736 682194 733104 909592 977472 1023291 1364388 1466208 1819184 2046582 2728776 2932416 3069873 3638368 4093164 5457552 6139746 7276736 8186328 10915104 12279492 16372656 21830208 24558984 32745312 49117968 65490624 98235936 196471872