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1070497952 = 253110310477
BaseRepresentation
bin111111110011101…
…000000010100000
32202121022221010022
4333303220002200
54143021413302
6254120253012
735346040166
oct7763500240
92677287108
101070497952
114aa2a4a57
1225a611168
13140a21554
14a225d236
1563ea98a2
hex3fce80a0

1070497952 has 48 divisors (see below), whose sum is σ = 2196859392. Its totient is φ = 512904960.

The previous prime is 1070497937. The next prime is 1070497957. The reversal of 1070497952 is 2597940701.

It is a super-2 number, since 2×10704979522 = 2291931730472388608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070497957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96938 + ... + 107414.

It is an arithmetic number, because the mean of its divisors is an integer number (45767904).

Almost surely, 21070497952 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 1070497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098429696).

1070497952 is an abundant number, since it is smaller than the sum of its proper divisors (1126361440).

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

1070497952 is a wasteful number, since it uses less digits than its factorization.

1070497952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10621 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 1070497952 is about 32718.4650006690. The cubic root of 1070497952 is about 1022.9677606673.

The spelling of 1070497952 in words is "one billion, seventy million, four hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1648 3193 3296 6386 10477 12772 20954 25544 41908 51088 83816 102176 167632 324787 335264 649574 1079131 1299148 2158262 2598296 4316524 5196592 8633048 10393184 17266096 33453061 34532192 66906122 133812244 267624488 535248976 1070497952