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4972464 = 243274933
BaseRepresentation
bin10010111101111110110000
3100100121221100
4102331332300
52233104324
6254324400
760156660
oct22757660
910317840
104972464
112896982
1217b9700
1310513b3
149361a0
156834c9
hex4bdfb0

4972464 has 60 divisors (see below), whose sum is σ = 15907216. Its totient is φ = 1420416.

The previous prime is 4972423. The next prime is 4972469. The reversal of 4972464 is 4642794.

4972464 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4972469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459 + ... + 3474.

Almost surely, 24972464 is an apocalyptic number.

It is an amenable number.

4972464 is an abundant number, since it is smaller than the sum of its proper divisors (10934752).

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

4972464 is a wasteful number, since it uses less digits than its factorization.

4972464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4945 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4972464 is about 2229.9022400096. The cubic root of 4972464 is about 170.6831106660.

The spelling of 4972464 in words is "four million, nine hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4933 9866 14799 19732 29598 34531 39464 44397 59196 69062 78928 88794 103593 118392 138124 177588 207186 236784 276248 310779 355176 414372 552496 621558 710352 828744 1243116 1657488 2486232 4972464