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1438525680 = 243558710211
BaseRepresentation
bin101010110111110…
…0010100011110000
310201020211200020220
41111233202203300
510421230310210
6354424333040
750435160264
oct12557424360
93636750226
101438525680
116790126a9
12341914180
1319c04a237
14d90a00a4
1586454c70
hex55be28f0

1438525680 has 80 divisors (see below), whose sum is σ = 4467464064. Its totient is φ = 382915840.

The previous prime is 1438525679. The next prime is 1438525681. The reversal of 1438525680 is 865258341.

1438525680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1438525679) and next prime (1438525681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14385256802 = 4138712264038924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438525681) 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, 135775 + ... + 145985.

Almost surely, 21438525680 is an apocalyptic number.

1438525680 is a gapful number since it is divisible by the number (10) 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 1438525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233732032).

1438525680 is an abundant number, since it is smaller than the sum of its proper divisors (3028938384).

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

1438525680 is a wasteful number, since it uses less digits than its factorization.

1438525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1438525680 is about 37927.9010755934. The cubic root of 1438525680 is about 1128.8577174371.

The spelling of 1438525680 in words is "one billion, four hundred thirty-eight million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 10211 11740 14088 17610 20422 23480 28176 30633 35220 40844 46960 51055 61266 70440 81688 102110 122532 140880 153165 163376 204220 245064 306330 408440 490128 612660 816880 1225320 2450640 5993857 11987714 17981571 23975428 29969285 35963142 47950856 59938570 71926284 89907855 95901712 119877140 143852568 179815710 239754280 287705136 359631420 479508560 719262840 1438525680