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38602752 = 211361103
BaseRepresentation
bin1001001101000…
…0100000000000
32200122020000120
42103100200000
534340242002
63455220240
7646055316
oct223204000
980566016
1038602752
111a876901
1210b17680
137cc7886
1451ac0b6
1535c7cbc
hex24d0800

38602752 has 96 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 12533760.

The previous prime is 38602747. The next prime is 38602769. The reversal of 38602752 is 25720683.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374733 + ... + 374835.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 238602752 is an apocalyptic number.

38602752 is a gapful number since it is divisible by the number (32) 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 38602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

38602752 is an abundant number, since it is smaller than the sum of its proper divisors (67015488).

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

38602752 is a wasteful number, since it uses less digits than its factorization.

38602752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38602752 is about 6213.1112978925. Note that the first 3 decimals coincide. The cubic root of 38602752 is about 337.9658007250.

The spelling of 38602752 in words is "thirty-eight million, six hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 103 122 128 183 192 206 244 256 309 366 384 412 488 512 618 732 768 824 976 1024 1236 1464 1536 1648 1952 2048 2472 2928 3072 3296 3904 4944 5856 6144 6283 6592 7808 9888 11712 12566 13184 15616 18849 19776 23424 25132 26368 31232 37698 39552 46848 50264 52736 62464 75396 79104 93696 100528 105472 124928 150792 158208 187392 201056 210944 301584 316416 374784 402112 603168 632832 804224 1206336 1608448 2412672 3216896 4825344 6433792 9650688 12867584 19301376 38602752