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38099880 = 233257131163
BaseRepresentation
bin1001000101010…
…1101110101000
32122200200012200
42101111232220
534223144010
63440340200
7641562240
oct221255650
978620180
1038099880
111a563005
1210914660
137b7ca10
1450bab20
153528cc0
hex2455ba8

38099880 has 192 divisors, whose sum is σ = 152530560. Its totient is φ = 8031744.

The previous prime is 38099863. The next prime is 38099911. The reversal of 38099880 is 8899083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32179 + ... + 33341.

It is an arithmetic number, because the mean of its divisors is an integer number (794430).

Almost surely, 238099880 is an apocalyptic number.

38099880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38099880 is the 5040-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38099880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76265280).

38099880 is an abundant number, since it is smaller than the sum of its proper divisors (114430680).

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

38099880 is a wasteful number, since it uses less digits than its factorization.

38099880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 38099880 is about 6172.5100242932. The cubic root of 38099880 is about 336.4918392147.

It can be divided in two parts, 3809 and 9880, that added together give a square (13689 = 1172).

The spelling of 38099880 in words is "thirty-eight million, ninety-nine thousand, eight hundred eighty".