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48572264 = 23131783331
BaseRepresentation
bin1011100101001…
…0011101101000
310101101201121202
42321102131220
544413303024
64453023332
71126600046
oct271223550
9111351552
1048572264
1125466074
1214324b48
13a0a85b0
146645396
1543e6bae
hex2e52768

48572264 has 64 divisors (see below), whose sum is σ = 105416640. Its totient is φ = 20782080.

The previous prime is 48572243. The next prime is 48572317. The reversal of 48572264 is 46227584.

48572264 = T1 + T2 + ... + T662.

48572264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

48572264 is a nontrivial binomial coefficient, being equal to C(664, 3).

It is an unprimeable number.

It is the 662-nd tetrahedral 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, 146579 + ... + 146909.

It is an arithmetic number, because the mean of its divisors is an integer number (1647135).

Almost surely, 248572264 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 48572264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52708320).

48572264 is an abundant number, since it is smaller than the sum of its proper divisors (56844376).

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

48572264 is a wasteful number, since it uses less digits than its factorization.

48572264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 48572264 is about 6969.3804602705. The cubic root of 48572264 is about 364.8626843203.

The spelling of 48572264 in words is "forty-eight million, five hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 331 332 442 662 664 884 1079 1324 1411 1768 2158 2648 2822 4303 4316 5627 5644 8606 8632 11254 11288 17212 18343 22508 27473 34424 36686 45016 54946 73151 73372 109892 146302 146744 219784 292604 357149 467041 585208 714298 934082 1428596 1868164 2857192 3736328 6071533 12143066 24286132 48572264