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1052525016 = 23347122877
BaseRepresentation
bin111110101111000…
…100000111011000
32201100111210220000
4332233010013120
54123421300031
6252235133000
735040213024
oct7657040730
92640453800
101052525016
114a0139694
122545a4160
1313a09a98a
149db01384
15626093e6
hex3ebc41d8

1052525016 has 80 divisors (see below), whose sum is σ = 2989697040. Its totient is φ = 345885120.

The previous prime is 1052525009. The next prime is 1052525021. The reversal of 1052525016 is 6105252501.

1052525016 is a `hidden beast` number, since 105 + 2 + 52 + 501 + 6 = 666.

It is a super-2 number, since 2×10525250162 = 2215617818611600512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34570 + ... + 57446.

It is an arithmetic number, because the mean of its divisors is an integer number (37371213).

Almost surely, 21052525016 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 1052525016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494848520).

1052525016 is an abundant number, since it is smaller than the sum of its proper divisors (1937172024).

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

1052525016 is a wasteful number, since it uses less digits than its factorization.

1052525016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22966 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1052525016 is about 32442.6419392749. The cubic root of 1052525016 is about 1017.2104401758.

Adding to 1052525016 its reverse (6105252501), we get a palindrome (7157777517).

The spelling of 1052525016 in words is "one billion, fifty-two million, five hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 11502 15336 22877 23004 45754 46008 68631 91508 137262 183016 205893 274524 411786 549048 617679 823572 1235358 1624267 1647144 1853037 2470716 3248534 3706074 4872801 4941432 6497068 7412148 9745602 12994136 14618403 14824296 19491204 29236806 38982408 43855209 58473612 87710418 116947224 131565627 175420836 263131254 350841672 526262508 1052525016