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4900008192 = 283171919753
BaseRepresentation
bin1001001000001000…
…00011000100000000
3110122111020012120220
410210010003010000
540013400230232
62130120103040
7232266245112
oct44404030400
913574205526
104900008192
112094a21752
12b49004a80
1360121ba41
14346ab33b2
151da2a442c
hex124103100

4900008192 has 144 divisors (see below), whose sum is σ = 14535783360. Its totient is φ = 1456275456.

The previous prime is 4900008131. The next prime is 4900008199. The reversal of 4900008192 is 2918000094.

It is not an unprimeable number, because it can be changed into a prime (4900008199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 238188 + ... + 257940.

It is an arithmetic number, because the mean of its divisors is an integer number (100942940).

Almost surely, 24900008192 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 4900008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267891680).

4900008192 is an abundant number, since it is smaller than the sum of its proper divisors (9635775168).

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

4900008192 is a wasteful number, since it uses less digits than its factorization.

4900008192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19808 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 4900008192 is about 70000.0585142613. The cubic root of 4900008192 is about 1698.5001987791.

The spelling of 4900008192 in words is "four billion, nine hundred million, eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 544 608 646 768 816 912 969 1088 1216 1292 1632 1824 1938 2176 2432 2584 3264 3648 3876 4352 4864 5168 6528 7296 7752 10336 13056 14592 15504 19753 20672 31008 39506 41344 59259 62016 79012 82688 118518 124032 158024 237036 248064 316048 335801 375307 474072 632096 671602 750614 948144 1007403 1125921 1264192 1343204 1501228 1896288 2014806 2251842 2528384 2686408 3002456 3792576 4029612 4503684 5056768 5372816 6004912 6380219 7585152 8059224 9007368 10745632 12009824 12760438 15170304 16118448 18014736 19140657 21491264 24019648 25520876 32236896 36029472 38281314 42982528 48039296 51041752 64473792 72058944 76562628 85965056 96078592 102083504 128947584 144117888 153125256 204167008 257895168 288235776 306250512 408334016 612501024 816668032 1225002048 1633336064 2450004096 4900008192