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48007470 = 2357297883
BaseRepresentation
bin1011011100100…
…0100100101110
310100100000212110
42313020210232
544242214340
64432544450
71122025320
oct267104456
9110300773
1048007470
112510a7a5
12140b2126
139c3b4b4
146539610
154334680
hex2dc892e

48007470 has 64 divisors (see below), whose sum is σ = 136235520. Its totient is φ = 10593408.

The previous prime is 48007469. The next prime is 48007481. The reversal of 48007470 is 7470084.

48007470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2149 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (2128680).

Almost surely, 248007470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48007470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68117760).

48007470 is an abundant number, since it is smaller than the sum of its proper divisors (88228050).

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

48007470 is a wasteful number, since it uses less digits than its factorization.

48007470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 48007470 is about 6928.7423101166. The cubic root of 48007470 is about 363.4429702147.

The spelling of 48007470 in words is "forty-eight million, seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 7883 15766 23649 39415 47298 55181 78830 110362 118245 165543 228607 236490 275905 331086 457214 551810 685821 827715 1143035 1371642 1600249 1655430 2286070 3200498 3429105 4800747 6858210 8001245 9601494 16002490 24003735 48007470