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947141472 = 253232511709
BaseRepresentation
bin111000011101000…
…011101101100000
32110000012202211210
4320131003231200
53414432011342
6233552310120
732320366254
oct7035035540
92400182753
10947141472
11446700452
12225242340
131212c0954
148db0c264
155823e79c
hex38743b60

947141472 has 96 divisors (see below), whose sum is σ = 2606204160. Its totient is φ = 300608000.

The previous prime is 947141467. The next prime is 947141497. The reversal of 947141472 is 274141749.

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

It is a self number, because there is not a number n which added to its sum of digits gives 947141472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553354 + ... + 555062.

It is an arithmetic number, because the mean of its divisors is an integer number (27147960).

Almost surely, 2947141472 is an apocalyptic number.

947141472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

947141472 is an abundant number, since it is smaller than the sum of its proper divisors (1659062688).

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

947141472 is a wasteful number, since it uses less digits than its factorization.

947141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 947141472 is about 30775.6636321623. The cubic root of 947141472 is about 982.0605927688.

The spelling of 947141472 in words is "nine hundred forty-seven million, one hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 251 276 368 502 552 736 753 1004 1104 1506 1709 2008 2208 3012 3418 4016 5127 5773 6024 6836 8032 10254 11546 12048 13672 17319 20508 23092 24096 27344 34638 39307 41016 46184 54688 69276 78614 82032 92368 117921 138552 157228 164064 184736 235842 277104 314456 428959 471684 554208 628912 857918 943368 1257824 1286877 1715836 1886736 2573754 3431672 3773472 5147508 6863344 9866057 10295016 13726688 19732114 20590032 29598171 39464228 41180064 59196342 78928456 118392684 157856912 236785368 315713824 473570736 947141472