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1035144152 = 237101397461
BaseRepresentation
bin111101101100110…
…000101111011000
32200010210202211022
4331230300233120
54104444103102
6250414422012
734436402660
oct7554605730
92603722738
101035144152
11491348139
1224a801908
131365c3743
149b6991a0
1560d245a2
hex3db30bd8

1035144152 has 64 divisors (see below), whose sum is σ = 2250642240. Its totient is φ = 437184000.

The previous prime is 1035144091. The next prime is 1035144193. The reversal of 1035144152 is 2514415301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245202 + ... + 2245662.

It is an arithmetic number, because the mean of its divisors is an integer number (35166285).

Almost surely, 21035144152 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 1035144152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125321120).

1035144152 is an abundant number, since it is smaller than the sum of its proper divisors (1215498088).

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

1035144152 is a wasteful number, since it uses less digits than its factorization.

1035144152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1035144152 is about 32173.6561801732. The cubic root of 1035144152 is about 1011.5801009692.

Adding to 1035144152 its reverse (2514415301), we get a palindrome (3549559453).

The spelling of 1035144152 in words is "one billion, thirty-five million, one hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 101 202 397 404 461 707 794 808 922 1414 1588 1844 2779 2828 3176 3227 3688 5558 5656 6454 11116 12908 22232 25816 40097 46561 80194 93122 160388 183017 186244 280679 320776 325927 366034 372488 561358 651854 732068 1122716 1281119 1303708 1464136 2245432 2562238 2607416 5124476 10248952 18484717 36969434 73938868 129393019 147877736 258786038 517572076 1035144152