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8038428102 = 23223411393407
BaseRepresentation
bin1110111110010000…
…01010110111000110
3202202012201110100100
413133020022313012
5112430314144402
63405351224530
7403125340305
oct73710126706
922665643310
108038428102
113455535011
121684078146
139b14a9343
1456382c43c
15320a8b71c
hex1df20adc6

8038428102 has 96 divisors (see below), whose sum is σ = 18756541440. Its totient is φ = 2481747840.

The previous prime is 8038428077. The next prime is 8038428109. The reversal of 8038428102 is 2018248308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038428109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357683 + ... + 2361089.

It is an arithmetic number, because the mean of its divisors is an integer number (195380640).

Almost surely, 28038428102 is an apocalyptic number.

8038428102 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038428102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9378270720).

8038428102 is an abundant number, since it is smaller than the sum of its proper divisors (10718113338).

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

8038428102 is a wasteful number, since it uses less digits than its factorization.

8038428102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8038428102 is about 89657.2813663229. The cubic root of 8038428102 is about 2003.1972279764.

The spelling of 8038428102 in words is "eight billion, thirty-eight million, four hundred twenty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 139 207 246 278 369 414 417 738 834 943 1251 1886 2502 2829 3197 3407 5658 5699 6394 6814 8487 9591 10221 11398 16974 17097 19182 20442 28773 30663 34194 51291 57546 61326 78361 102582 131077 139687 156722 235083 262154 279374 393231 419061 470166 473573 705249 786462 838122 947146 1179693 1257183 1410498 1420719 2359386 2514366 2841438 3212801 4262157 6425602 8524314 9638403 10892179 19276806 19416493 21784358 28915209 32676537 38832986 57830418 58249479 65353074 98029611 116498958 174748437 196059222 349496874 446579339 893158678 1339738017 2679476034 4019214051 8038428102