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38972490 = 23553127193
BaseRepresentation
bin1001010010101…
…0110001001010
32201100000012120
42110222301022
534434104430
63511152110
7652155264
oct224526112
981300176
1038972490
111aaa9677
1211075636
1380c6c5b
145266b34
15364c610
hex252ac4a

38972490 has 64 divisors (see below), whose sum is σ = 96546816. Its totient is φ = 10063872.

The previous prime is 38972489. The next prime is 38972497. The reversal of 38972490 is 9427983.

It is not an unprimeable number, because it can be changed into a prime (38972497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201834 + ... + 202026.

It is an arithmetic number, because the mean of its divisors is an integer number (1508544).

Almost surely, 238972490 is an apocalyptic number.

38972490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38972490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48273408).

38972490 is an abundant number, since it is smaller than the sum of its proper divisors (57574326).

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

38972490 is a wasteful number, since it uses less digits than its factorization.

38972490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 38972490 is about 6242.7950470923. The cubic root of 38972490 is about 339.0413885997.

The spelling of 38972490 in words is "thirty-eight million, nine hundred seventy-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 127 159 193 254 265 318 381 386 530 579 635 762 795 965 1158 1270 1590 1905 1930 2895 3810 5790 6731 10229 13462 20193 20458 24511 30687 33655 40386 49022 51145 61374 67310 73533 100965 102290 122555 147066 153435 201930 245110 306870 367665 735330 1299083 2598166 3897249 6495415 7794498 12990830 19486245 38972490