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4700472 = 23373571
BaseRepresentation
bin10001111011100100111000
322211210211120
4101323210320
52200403342
6244425240
754645000
oct21734470
98753746
104700472
112720597
1216a8220
13c8765a
148a5000
1562caec
hex47b938

4700472 has 64 divisors (see below), whose sum is σ = 13728000. Its totient is φ = 1340640.

The previous prime is 4700419. The next prime is 4700473. The reversal of 4700472 is 2740074.

4700472 is digitally balanced in base 4, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4700473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7947 + ... + 8517.

It is an arithmetic number, because the mean of its divisors is an integer number (214500).

Almost surely, 24700472 is an apocalyptic number.

4700472 is a gapful number since it is divisible by the number (42) 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 4700472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864000).

4700472 is an abundant number, since it is smaller than the sum of its proper divisors (9027528).

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

4700472 is a wasteful number, since it uses less digits than its factorization.

4700472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4700472 is about 2168.0571948175. The cubic root of 4700472 is about 167.5124754946.

The spelling of 4700472 in words is "four million, seven hundred thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 571 588 686 1029 1142 1176 1372 1713 2058 2284 2744 3426 3997 4116 4568 6852 7994 8232 11991 13704 15988 23982 27979 31976 47964 55958 83937 95928 111916 167874 195853 223832 335748 391706 587559 671496 783412 1175118 1566824 2350236 4700472