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38797312 = 22037
BaseRepresentation
bin1001010000000…
…0000000000000
32201000002220111
42110000000000
534413003222
63503321104
7650525461
oct224000000
981002814
1038797312
111a999aa4
1210bb0194
1380652b8
14521cd68
153615777
hex2500000

38797312 has 42 divisors (see below), whose sum is σ = 79691738. Its totient is φ = 18874368.

The previous prime is 38797303. The next prime is 38797379. The reversal of 38797312 is 21379783.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 1048576 = 6144^2 + 1024^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048558 + ... + 1048594.

Almost surely, 238797312 is an apocalyptic number.

38797312 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 38797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39845869).

38797312 is an abundant number, since it is smaller than the sum of its proper divisors (40894426).

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

38797312 is an frugal number, since it uses more digits than its factorization.

38797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 38797312 is about 6228.7488310254. The cubic root of 38797312 is about 338.5326382524.

The spelling of 38797312 in words is "thirty-eight million, seven hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 8192 9472 16384 18944 32768 37888 65536 75776 131072 151552 262144 303104 524288 606208 1048576 1212416 2424832 4849664 9699328 19398656 38797312