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38734848 = 21034467
BaseRepresentation
bin1001001111000…
…0110000000000
32200212221020000
42103300300000
534404003343
63502120000
7650145405
oct223606000
980787200
1038734848
111a957079
1210b80000
138042a39
1452042ac
153601ed3
hex24f0c00

38734848 has 110 divisors (see below), whose sum is σ = 115917516. Its totient is φ = 12883968.

The previous prime is 38734837. The next prime is 38734853. The reversal of 38734848 is 84843783.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82711 + ... + 83177.

Almost surely, 238734848 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 38734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57958758).

38734848 is an abundant number, since it is smaller than the sum of its proper divisors (77182668).

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

38734848 is an equidigital number, since it uses as much as digits as its factorization.

38734848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 472 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 38734848 is about 6223.7326420726. The cubic root of 38734848 is about 338.3508605273.

The spelling of 38734848 in words is "thirty-eight million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 467 512 576 648 768 864 934 1024 1152 1296 1401 1536 1728 1868 2304 2592 2802 3072 3456 3736 4203 4608 5184 5604 6912 7472 8406 9216 10368 11208 12609 13824 14944 16812 20736 22416 25218 27648 29888 33624 37827 41472 44832 50436 59776 67248 75654 82944 89664 100872 119552 134496 151308 179328 201744 239104 268992 302616 358656 403488 478208 537984 605232 717312 806976 1075968 1210464 1434624 1613952 2151936 2420928 3227904 4303872 4841856 6455808 9683712 12911616 19367424 38734848