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38997348 = 223131959223
BaseRepresentation
bin1001010011000…
…0110101100100
32201101021022020
42110300311210
534440403343
63511503140
7652320615
oct224606544
981337266
1038997348
1120016315
1211087ab0
138105370
145271c0c
153654b83
hex2530d64

38997348 has 96 divisors (see below), whose sum is σ = 105369600. Its totient is φ = 11124864.

The previous prime is 38997341. The next prime is 38997353. The reversal of 38997348 is 84379983.

It is a self number, because there is not a number n which added to its sum of digits gives 38997348.

It is not an unprimeable number, because it can be changed into a prime (38997341) 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, 174765 + ... + 174987.

It is an arithmetic number, because the mean of its divisors is an integer number (1097600).

Almost surely, 238997348 is an apocalyptic number.

38997348 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38997348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52684800).

38997348 is an abundant number, since it is smaller than the sum of its proper divisors (66372252).

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

38997348 is a wasteful number, since it uses less digits than its factorization.

38997348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 38997348 is about 6244.7856648567. The cubic root of 38997348 is about 339.1134573812.

The spelling of 38997348 in words is "thirty-eight million, nine hundred ninety-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 59 76 78 114 118 156 177 223 228 236 247 354 446 494 669 708 741 767 892 988 1121 1338 1482 1534 2242 2301 2676 2899 2964 3068 3363 4237 4484 4602 5798 6726 8474 8697 9204 11596 12711 13157 13452 14573 16948 17394 25422 26314 29146 34788 39471 43719 50844 52628 55081 58292 78942 87438 110162 157884 165243 171041 174876 220324 249983 330486 342082 499966 513123 660972 684164 749949 999932 1026246 1499898 2052492 2999796 3249779 6499558 9749337 12999116 19498674 38997348