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103052448 = 25321791999
BaseRepresentation
bin1100010010001…
…11010010100000
321011220121101100
412021013102200
5202340134243
614120434400
72360634312
oct611072240
9234817340
10103052448
1153196914
122a618a00
1318471ca5
14d9877b2
1590a90d3
hex62474a0

103052448 has 72 divisors (see below), whose sum is σ = 294840000. Its totient is φ = 34141824.

The previous prime is 103052431. The next prime is 103052471. The reversal of 103052448 is 844250301.

It is a tau number, because it is divible by the number of its divisors (72).

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, 50553 + ... + 52551.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2103052448 is an apocalyptic number.

103052448 is a gapful number since it is divisible by the number (18) 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 103052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420000).

103052448 is an abundant number, since it is smaller than the sum of its proper divisors (191787552).

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

103052448 is a wasteful number, since it uses less digits than its factorization.

103052448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 103052448 is about 10151.4751637385. The cubic root of 103052448 is about 468.8343651885.

The spelling of 103052448 in words is "one hundred three million, fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 1999 2148 2864 3222 3998 4296 5728 5997 6444 7996 8592 11994 12888 15992 17184 17991 23988 25776 31984 35982 47976 51552 63968 71964 95952 143928 191904 287856 357821 575712 715642 1073463 1431284 2146926 2862568 3220389 4293852 5725136 6440778 8587704 11450272 12881556 17175408 25763112 34350816 51526224 103052448