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38900466 = 23311431523
BaseRepresentation
bin1001010001100…
…1001011110010
32201012100102000
42110121023302
534424303331
63505434430
7651435303
oct224311362
981170360
1038900466
111aa5a550
121103ba16
1380a0237
1452487aa
1536360e6
hex25192f2

38900466 has 64 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 11506320.

The previous prime is 38900461. The next prime is 38900489. The reversal of 38900466 is 66400983.

It is a self number, because there is not a number n which added to its sum of digits gives 38900466.

It is not an unprimeable number, because it can be changed into a prime (38900461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24781 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 238900466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38900466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

38900466 is an abundant number, since it is smaller than the sum of its proper divisors (57660174).

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

38900466 is a wasteful number, since it uses less digits than its factorization.

38900466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38900466 is about 6237.0238094784. The cubic root of 38900466 is about 338.8324020795.

The spelling of 38900466 in words is "thirty-eight million, nine hundred thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 1523 2322 2838 3046 4257 4569 8514 9138 12771 13707 16753 25542 27414 33506 41121 50259 65489 82242 100518 130978 150777 196467 301554 392934 452331 589401 720379 904662 1178802 1440758 1768203 2161137 3536406 4322274 6483411 12966822 19450233 38900466