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38803632 = 2437532179
BaseRepresentation
bin1001010000000…
…1100010110000
32201000102120120
42110001202300
534413204012
63503410240
7650553060
oct224014260
981012516
1038803632
111a9a381a
1210bb3980
13806813a
1452213a0
15361758c
hex25018b0

38803632 has 80 divisors (see below), whose sum is σ = 116778240. Its totient is φ = 10872576.

The previous prime is 38803613. The next prime is 38803669. The reversal of 38803632 is 23630883.

It is a junction number, because it is equal to n+sod(n) for n = 38803593 and 38803602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16719 + ... + 18897.

It is an arithmetic number, because the mean of its divisors is an integer number (1459728).

Almost surely, 238803632 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 38803632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389120).

38803632 is an abundant number, since it is smaller than the sum of its proper divisors (77974608).

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

38803632 is a wasteful number, since it uses less digits than its factorization.

38803632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 38803632 is about 6229.2561353664. The cubic root of 38803632 is about 338.5510193378.

The spelling of 38803632 in words is "thirty-eight million, eight hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2179 2226 2544 2968 4358 4452 5936 6537 8716 8904 13074 15253 17432 17808 26148 30506 34864 45759 52296 61012 91518 104592 115487 122024 183036 230974 244048 346461 366072 461948 692922 732144 808409 923896 1385844 1616818 1847792 2425227 2771688 3233636 4850454 5543376 6467272 9700908 12934544 19401816 38803632