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38825040 = 2435161771
BaseRepresentation
bin1001010000011…
…0110001010000
32201001111221110
42110012301100
534414400130
63504053320
7651002352
oct224066120
981044843
1038825040
111aa08911
1211004240
138074ac7
1452290d2
15361dab0
hex2506c50

38825040 has 40 divisors (see below), whose sum is σ = 120358368. Its totient is φ = 10353280.

The previous prime is 38825021. The next prime is 38825069. The reversal of 38825040 is 4052883.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38824989 and 38825007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80646 + ... + 81125.

Almost surely, 238825040 is an apocalyptic number.

38825040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38825040 is an abundant number, since it is smaller than the sum of its proper divisors (81533328).

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

38825040 is a wasteful number, since it uses less digits than its factorization.

38825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161787 (or 161781 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38825040 is about 6230.9742416415. The cubic root of 38825040 is about 338.6132675295.

The spelling of 38825040 in words is "thirty-eight million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 161771 323542 485313 647084 808855 970626 1294168 1617710 1941252 2426565 2588336 3235420 3882504 4853130 6470840 7765008 9706260 12941680 19412520 38825040