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4650157344 = 253715145827
BaseRepresentation
bin1000101010010101…
…11100010100100000
3110000002002110122210
410111022330110200
534010420013334
62045233002120
7223143454020
oct42512742440
913002073583
104650157344
111a76990048
12a993b3340
1359152c1c1
14321835a80
151c339e5e9
hex1152bc520

4650157344 has 96 divisors (see below), whose sum is σ = 14043165696. Its totient is φ = 1319788800.

The previous prime is 4650157231. The next prime is 4650157357. The reversal of 4650157344 is 4437510564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 78559 + ... + 124385.

It is an arithmetic number, because the mean of its divisors is an integer number (146282976).

Almost surely, 24650157344 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 4650157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021582848).

4650157344 is an abundant number, since it is smaller than the sum of its proper divisors (9393008352).

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

4650157344 is a wasteful number, since it uses less digits than its factorization.

4650157344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45998 (or 45990 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 4650157344 is about 68192.0621773532. The cubic root of 4650157344 is about 1669.1263605489.

The spelling of 4650157344 in words is "four billion, six hundred fifty million, one hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 12684 14496 16912 25368 33824 45827 50736 91654 101472 137481 183308 274962 320789 366616 549924 641578 733232 962367 1099848 1283156 1466464 1924734 2199696 2566312 3849468 4399392 5132624 6919877 7698936 10265248 13839754 15397872 20759631 27679508 30795744 41519262 48439139 55359016 83038524 96878278 110718032 145317417 166077048 193756556 221436064 290634834 332154096 387513112 581269668 664308192 775026224 1162539336 1550052448 2325078672 4650157344