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194649264 = 24331074211
BaseRepresentation
bin10111001101000…
…01110010110000
3111120021012121000
423212201302300
5344312234024
631152002000
74552330365
oct1346416260
9446235530
10194649264
119a968967
1255230300
13314329a4
141bbcc46c
151214dcc9
hexb9a1cb0

194649264 has 80 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 64261440.

The previous prime is 194649251. The next prime is 194649283. The reversal of 194649264 is 462946491.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44119 + ... + 48329.

It is an arithmetic number, because the mean of its divisors is an integer number (7050888).

Almost surely, 2194649264 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 194649264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282035520).

194649264 is an abundant number, since it is smaller than the sum of its proper divisors (369421776).

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

194649264 is a wasteful number, since it uses less digits than its factorization.

194649264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4323 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 194649264 is about 13951.6760283487. The cubic root of 194649264 is about 579.5411194039.

The spelling of 194649264 in words is "one hundred ninety-four million, six hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 4211 5136 5778 7704 8422 11556 12633 15408 16844 23112 25266 33688 37899 46224 50532 67376 75798 101064 113697 151596 202128 227394 303192 450577 454788 606384 901154 909576 1351731 1802308 1819152 2703462 3604616 4055193 5406924 7209232 8110386 10813848 12165579 16220772 21627696 24331158 32441544 48662316 64883088 97324632 194649264