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60753472 = 2613241137
BaseRepresentation
bin1110011111000…
…0011001000000
311020022121002121
43213300121000
5111023102342
610010054024
71335252553
oct347603100
9136277077
1060753472
1131325a8a
121841a314
13c781c00
1480d669a
155501067
hex39f0640

60753472 has 84 divisors (see below), whose sum is σ = 134704836. Its totient is φ = 27156480.

The previous prime is 60753467. The next prime is 60753479. The reversal of 60753472 is 27435706.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21013056 + 39740416 = 4584^2 + 6304^2 .

It is not an unprimeable number, because it can be changed into a prime (60753479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443388 + ... + 443524.

It is an arithmetic number, because the mean of its divisors is an integer number (1603629).

Almost surely, 260753472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67352418).

60753472 is an abundant number, since it is smaller than the sum of its proper divisors (73951364).

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

60753472 is a wasteful number, since it uses less digits than its factorization.

60753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 60753472 is about 7794.4513597815. The cubic root of 60753472 is about 393.1186980538.

The spelling of 60753472 in words is "sixty million, seven hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 137 164 169 208 274 328 338 416 533 548 656 676 832 1066 1096 1312 1352 1781 2132 2192 2624 2704 3562 4264 4384 5408 5617 6929 7124 8528 8768 10816 11234 13858 14248 17056 22468 23153 27716 28496 34112 44936 46306 55432 56992 73021 89872 92612 110864 113984 146042 179744 185224 221728 292084 359488 370448 443456 584168 740896 949273 1168336 1481792 1898546 2336672 3797092 4673344 7594184 15188368 30376736 60753472