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4505367828 = 22313433371993
BaseRepresentation
bin1000011001000101…
…00111010100010100
3102121222122101210010
410030202213110110
533211333232303
62023021400220
7216434665113
oct41442472424
912558571703
104505367828
111a02187595
12a58a09070
1356a535b30
1430a505c7a
151b57edc03
hex10c8a7514

4505367828 has 96 divisors (see below), whose sum is σ = 11624669056. Its totient is φ = 1349332992.

The previous prime is 4505367821. The next prime is 4505367833. The reversal of 4505367828 is 8287635054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505367821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259600 + ... + 2261592.

Almost surely, 24505367828 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 4505367828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812334528).

4505367828 is an abundant number, since it is smaller than the sum of its proper divisors (7119301228).

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

4505367828 is a wasteful number, since it uses less digits than its factorization.

4505367828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 4505367828 is about 67122.0368284515. The cubic root of 4505367828 is about 1651.6198146242.

The spelling of 4505367828 in words is "four billion, five hundred five million, three hundred sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 337 516 559 674 1011 1118 1348 1677 1993 2022 2236 3354 3986 4044 4381 5979 6708 7972 8762 11958 13143 14491 17524 23916 25909 26286 28982 43473 51818 52572 57964 77727 85699 86946 103636 155454 171398 173892 188383 257097 310908 342796 376766 514194 565149 671641 753532 1028388 1114087 1130298 1343282 2014923 2228174 2260596 2686564 3342261 4029846 4456348 6684522 8059692 8731333 13369044 17462666 26193999 28880563 34925332 52387998 57761126 86641689 104775996 115522252 173283378 346566756 375447319 750894638 1126341957 1501789276 2252683914 4505367828