Search a number
-
+
38166552 = 233529677
BaseRepresentation
bin1001000110011…
…0000000011000
32122211001200000
42101212000120
534232312202
63442013000
7642260514
oct221460030
978731600
1038166552
111a5a9106
1210947160
137ba4178
1450d7144
15353d91c
hex2466018

38166552 has 96 divisors (see below), whose sum is σ = 111056400. Its totient is φ = 12265344.

The previous prime is 38166539. The next prime is 38166553. The reversal of 38166552 is 25566183.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38166553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56038 + ... + 56714.

Almost surely, 238166552 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 38166552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55528200).

38166552 is an abundant number, since it is smaller than the sum of its proper divisors (72889848).

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

38166552 is a wasteful number, since it uses less digits than its factorization.

38166552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 38166552 is about 6177.9083839112. The cubic root of 38166552 is about 336.6880035274.

The spelling of 38166552 in words is "thirty-eight million, one hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 677 696 783 972 1044 1354 1566 1944 2031 2088 2349 2708 3132 4062 4698 5416 6093 6264 7047 8124 9396 12186 14094 16248 18279 18792 19633 24372 28188 36558 39266 48744 54837 56376 58899 73116 78532 109674 117798 146232 157064 164511 176697 219348 235596 329022 353394 438696 471192 530091 658044 706788 1060182 1316088 1413576 1590273 2120364 3180546 4240728 4770819 6361092 9541638 12722184 19083276 38166552