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1201287552 = 2738337691
BaseRepresentation
bin100011110011010…
…0011000110000000
310002201102201201120
41013212203012000
54430012200202
6315111432240
741524530033
oct10746430600
93081381646
101201287552
11567106133
12296385680
13161b5554a
14b578701a
15706e20bc
hex479a3180

1201287552 has 64 divisors (see below), whose sum is σ = 3229450560. Its totient is φ = 395594240.

The previous prime is 1201287533. The next prime is 1201287569. The reversal of 1201287552 is 2557821021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13027 + ... + 50717.

It is an arithmetic number, because the mean of its divisors is an integer number (50460165).

Almost surely, 21201287552 is an apocalyptic number.

1201287552 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 1201287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614725280).

1201287552 is an abundant number, since it is smaller than the sum of its proper divisors (2028163008).

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

1201287552 is an equidigital number, since it uses as much as digits as its factorization.

1201287552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37791 (or 37779 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1201287552 is about 34659.5953813659. The cubic root of 1201287552 is about 1063.0384967121.

The spelling of 1201287552 in words is "one billion, two hundred one million, two hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 10624 15936 31872 37691 75382 113073 150764 226146 301528 452292 603056 904584 1206112 1809168 2412224 3128353 3618336 4824448 6256706 7236672 9385059 12513412 14473344 18770118 25026824 37540236 50053648 75080472 100107296 150160944 200214592 300321888 400429184 600643776 1201287552