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4952640 = 263571167
BaseRepresentation
bin10010111001001001000000
3100022121202010
4102321021000
52231441030
6254052520
760045120
oct22711100
910277663
104952640
112882aa0
1217aa140
131045374
1492cc80
1567c6b0
hex4b9240

4952640 has 224 divisors, whose sum is σ = 19897344. Its totient is φ = 1013760.

The previous prime is 4952639. The next prime is 4952663. The reversal of 4952640 is 462594.

4952640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 4952598 and 4952607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73887 + ... + 73953.

Almost surely, 24952640 is an apocalyptic number.

4952640 is a gapful number since it is divisible by the number (40) 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 4952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948672).

4952640 is an abundant number, since it is smaller than the sum of its proper divisors (14944704).

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

4952640 is a wasteful number, since it uses less digits than its factorization.

4952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4952640 is about 2225.4527629226. The cubic root of 4952640 is about 170.4559846020.

The spelling of 4952640 in words is "four million, nine hundred fifty-two thousand, six hundred forty".