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501428840 = 235112211491
BaseRepresentation
bin11101111000110…
…011001001101000
31021221112020001112
4131320303021220
52011331210330
6121431205452
715266034443
oct3570631150
91257466045
10501428840
11238052a00
1211bb16888
137cb65573
144a84865a
152e04b795
hex1de33268

501428840 has 96 divisors (see below), whose sum is σ = 1248518880. Its totient is φ = 181104000.

The previous prime is 501428833. The next prime is 501428843. The reversal of 501428840 is 48824105.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 501428797 and 501428806.

It is not an unprimeable number, because it can be changed into a prime (501428843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020995 + ... + 1021485.

It is an arithmetic number, because the mean of its divisors is an integer number (13005405).

Almost surely, 2501428840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624259440).

501428840 is an abundant number, since it is smaller than the sum of its proper divisors (747090040).

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

501428840 is a wasteful number, since it uses less digits than its factorization.

501428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 501428840 is about 22392.6068156434. The cubic root of 501428840 is about 794.4558543178.

The spelling of 501428840 in words is "five hundred one million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 211 220 242 422 440 484 491 605 844 968 982 1055 1210 1688 1964 2110 2321 2420 2455 3928 4220 4642 4840 4910 5401 8440 9284 9820 10802 11605 18568 19640 21604 23210 25531 27005 43208 46420 51062 54010 59411 92840 102124 103601 108020 118822 127655 204248 207202 216040 237644 255310 297055 414404 475288 510620 518005 594110 828808 1021240 1036010 1139611 1188220 2072020 2279222 2376440 4144040 4558444 5698055 9116888 11396110 12535721 22792220 25071442 45584440 50142884 62678605 100285768 125357210 250714420 501428840