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103047552 = 27353313
BaseRepresentation
bin1100010010001…
…10000110000000
321011220100200000
412021012012000
5202340010202
614120400000
72360614116
oct611060600
9234810600
10103047552
1153193173
122a616000
131846c9aa
14d985ab6
1590a791c
hex6246180

103047552 has 96 divisors (see below), whose sum is σ = 307605480. Its totient is φ = 34338816.

The previous prime is 103047551. The next prime is 103047563. The reversal of 103047552 is 255740301.

It is a happy number.

103047552 is a `hidden beast` number, since 103 + 0 + 4 + 7 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103047551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29448 + ... + 32760.

Almost surely, 2103047552 is an apocalyptic number.

103047552 is a gapful number since it is divisible by the number (12) 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 103047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153802740).

103047552 is an abundant number, since it is smaller than the sum of its proper divisors (204557928).

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

103047552 is an frugal number, since it uses more digits than its factorization.

103047552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 103047552 is about 10151.2340136557. The cubic root of 103047552 is about 468.8269403304.

Adding to 103047552 its reverse (255740301), we get a palindrome (358787853).

The spelling of 103047552 in words is "one hundred three million, forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3313 3456 3888 5184 6626 7776 9939 10368 13252 15552 19878 26504 29817 31104 39756 53008 59634 79512 89451 106016 119268 159024 178902 212032 238536 268353 318048 357804 424064 477072 536706 636096 715608 805059 954144 1073412 1272192 1431216 1610118 1908288 2146824 2862432 3220236 3816576 4293648 5724864 6440472 8587296 11449728 12880944 17174592 25761888 34349184 51523776 103047552