Search a number
-
+
948772128 = 25313772139
BaseRepresentation
bin111000100011010…
…001110100100000
32110010021121200110
4320203101310200
53420341202003
6234051251320
732340300333
oct7043216440
92403247613
10948772128
114476145a7
122258a9b40
13121741c35
149001461a
1558462a03
hex388d1d20

948772128 has 48 divisors (see below), whose sum is σ = 2508740640. Its totient is φ = 313944576.

The previous prime is 948772117. The next prime is 948772147. The reversal of 948772128 is 821277849.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22918 + ... + 49221.

It is an arithmetic number, because the mean of its divisors is an integer number (52265430).

Almost surely, 2948772128 is an apocalyptic number.

It is an amenable number.

948772128 is an abundant number, since it is smaller than the sum of its proper divisors (1559968512).

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

948772128 is a wasteful number, since it uses less digits than its factorization.

948772128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72289 (or 72281 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 948772128 is about 30802.1448603827. The cubic root of 948772128 is about 982.6238612629.

The spelling of 948772128 in words is "nine hundred forty-eight million, seven hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152 72139 144278 216417 288556 432834 577112 865668 1154224 1731336 2308448 3462672 6925344 9883043 19766086 29649129 39532172 59298258 79064344 118596516 158128688 237193032 316257376 474386064 948772128