Search a number
-
+
47190096 = 24321737521
BaseRepresentation
bin1011010000000…
…1000001010000
310021210111122100
42310001001100
544040040341
64403240400
71112052312
oct264010120
9107714570
1047190096
1124701688
1213979100
139a13445
1463a57b2
1542223b6
hex2d01050

47190096 has 120 divisors (see below), whose sum is σ = 143890344. Its totient is φ = 14376960.

The previous prime is 47190037. The next prime is 47190107. The reversal of 47190096 is 69009174.

It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 29550096 = 4200^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47190096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90316 + ... + 90836.

Almost surely, 247190096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47190096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71945172).

47190096 is an abundant number, since it is smaller than the sum of its proper divisors (96700248).

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

47190096 is a wasteful number, since it uses less digits than its factorization.

47190096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 47190096 is about 6869.5047856450. The cubic root of 47190096 is about 361.3684949496.

The spelling of 47190096 in words is "forty-seven million, one hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 521 592 612 629 666 816 888 1042 1224 1258 1332 1563 1776 1887 2084 2448 2516 2664 3126 3774 4168 4689 5032 5328 5661 6252 7548 8336 8857 9378 10064 11322 12504 15096 17714 18756 19277 22644 25008 26571 30192 35428 37512 38554 45288 53142 57831 70856 75024 77108 79713 90576 106284 115662 141712 154216 159426 173493 212568 231324 308432 318852 327709 346986 425136 462648 637704 655418 693972 925296 983127 1275408 1310836 1387944 1966254 2621672 2775888 2949381 3932508 5243344 5898762 7865016 11797524 15730032 23595048 47190096