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100452828 = 22371816607
BaseRepresentation
bin1011111110011…
…00100111011100
321000000112101010
411333030213130
5201203442303
613545015220
72326556250
oct577144734
9230015333
10100452828
1151780773
1229784510
1317a71958
14d4ac260
158c43c03
hex5fcc9dc

100452828 has 48 divisors (see below), whose sum is σ = 269394944. Its totient is φ = 28537920.

The previous prime is 100452827. The next prime is 100452853. The reversal of 100452828 is 828254001.

It is a junction number, because it is equal to n+sod(n) for n = 100452795 and 100452804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100452823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901 + ... + 18507.

Almost surely, 2100452828 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 100452828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134697472).

100452828 is an abundant number, since it is smaller than the sum of its proper divisors (168942116).

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

100452828 is a wasteful number, since it uses less digits than its factorization.

100452828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 100452828 is about 10022.6158262202. The cubic root of 100452828 is about 464.8584422847.

The spelling of 100452828 in words is "one hundred million, four hundred fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 6607 7602 13214 15204 19821 26428 39642 46249 79284 92498 138747 184996 277494 554988 1195867 2391734 3587601 4783468 7175202 8371069 14350404 16742138 25113207 33484276 50226414 100452828