Search a number
-
+
456795196 = 2211133732141
BaseRepresentation
bin11011001110100…
…010010000111100
31011211112121012121
4123032202100330
51413414421241
6113154412324
714214460264
oct3316422074
91154477177
10456795196
11214937aa0
12108b910a4
1373838920
144494a7a4
152a181ad1
hex1b3a243c

456795196 has 48 divisors (see below), whose sum is σ = 942103008. Its totient is φ = 191059200.

The previous prime is 456795187. The next prime is 456795223. The reversal of 456795196 is 691597654.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 212286 + ... + 214426.

It is an arithmetic number, because the mean of its divisors is an integer number (19627146).

Almost surely, 2456795196 is an apocalyptic number.

It is an amenable number.

456795196 is an abundant number, since it is smaller than the sum of its proper divisors (485307812).

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

456795196 is a wasteful number, since it uses less digits than its factorization.

456795196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 52.

The square root of 456795196 is about 21372.7676261171. The cubic root of 456795196 is about 770.1473805708.

The spelling of 456795196 in words is "four hundred fifty-six million, seven hundred ninety-five thousand, one hundred ninety-six".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 373 572 746 1492 2141 4103 4282 4849 8206 8564 9698 16412 19396 23551 27833 47102 53339 55666 94204 106678 111332 213356 306163 612326 798593 1224652 1597186 3194372 8784523 10381709 17569046 20763418 35138092 41526836 114198799 228397598 456795196