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4528988640 = 253451131769
BaseRepresentation
bin1000011011111001…
…01110000111100000
3102200122002110110000
410031330232013200
533233410114030
62025223540000
7220142524341
oct41574560740
912618073400
104528988640
111a14550220
12a648ba600
135723b6347
1430d6d40c8
151b7917860
hex10df2e1e0

4528988640 has 240 divisors, whose sum is σ = 17437155120. Its totient is φ = 1097902080.

The previous prime is 4528988623. The next prime is 4528988677. The reversal of 4528988640 is 468898254.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126676 + ... + 158444.

It is an arithmetic number, because the mean of its divisors is an integer number (72654813).

Almost surely, 24528988640 is an apocalyptic number.

4528988640 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 4528988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718577560).

4528988640 is an abundant number, since it is smaller than the sum of its proper divisors (12908166480).

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

4528988640 is a wasteful number, since it uses less digits than its factorization.

4528988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31807 (or 31790 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4528988640 is about 67297.7610325931. The cubic root of 4528988640 is about 1654.5011643009.

The spelling of 4528988640 in words is "four billion, five hundred twenty-eight million, nine hundred eighty-eight thousand, six hundred forty".