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38154132 = 22331492371
BaseRepresentation
bin1001000110001…
…0111110010100
32122210102122000
42101202332110
534231413012
63441435300
7642206352
oct221427624
978712560
1038154132
111a59a845
121093bb30
137b9b613
1450d27d2
153539ddc
hex2462f94

38154132 has 48 divisors (see below), whose sum is σ = 99624000. Its totient is φ = 12627360.

The previous prime is 38154121. The next prime is 38154133. The reversal of 38154132 is 23145183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38154096 and 38154105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38154133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14907 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (2075500).

Almost surely, 238154132 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 38154132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49812000).

38154132 is an abundant number, since it is smaller than the sum of its proper divisors (61469868).

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

38154132 is a wasteful number, since it uses less digits than its factorization.

38154132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38154132 is about 6176.9031075451. The cubic root of 38154132 is about 336.6514783637.

The spelling of 38154132 in words is "thirty-eight million, one hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2371 2682 4023 4742 5364 7113 8046 9484 14226 16092 21339 28452 42678 64017 85356 128034 256068 353279 706558 1059837 1413116 2119674 3179511 4239348 6359022 9538533 12718044 19077066 38154132