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38104352 = 2511213757
BaseRepresentation
bin1001000101011…
…0110100100000
32122200220100022
42101112310200
534223314402
63440413012
7641611256
oct221266440
978626308
1038104352
111a566400
1210917168
137b81a70
1450bc5d6
15352a2a2
hex2456d20

38104352 has 72 divisors (see below), whose sum is σ = 88917948. Its totient is φ = 15966720.

The previous prime is 38104337. The next prime is 38104373. The reversal of 38104352 is 25340183.

It can be written as a sum of positive squares in 2 ways, for example, as 37405456 + 698896 = 6116^2 + 836^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49958 + ... + 50714.

Almost surely, 238104352 is an apocalyptic number.

38104352 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 38104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44458974).

38104352 is an abundant number, since it is smaller than the sum of its proper divisors (50813596).

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

38104352 is a wasteful number, since it uses less digits than its factorization.

38104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38104352 is about 6172.8722649995. The cubic root of 38104352 is about 336.5050040212.

The spelling of 38104352 in words is "thirty-eight million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 757 968 1144 1514 1573 1936 2288 3028 3146 3872 4576 6056 6292 8327 9841 12112 12584 16654 19682 24224 25168 33308 39364 50336 66616 78728 91597 108251 133232 157456 183194 216502 266464 314912 366388 433004 732776 866008 1190761 1465552 1732016 2381522 2931104 3464032 4763044 9526088 19052176 38104352