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1052230624 = 2553896971
BaseRepresentation
bin111110101101111…
…100001111100000
32201022221212001121
4332231330033200
54123332334444
6252224542024
735034545524
oct7655741740
92638855047
101052230624
1149aa58495
12254481914
13139cc6993
149da65d84
156259c084
hex3eb7c3e0

1052230624 has 48 divisors (see below), whose sum is σ = 2134686960. Its totient is φ = 510315520.

The previous prime is 1052230559. The next prime is 1052230637. The reversal of 1052230624 is 4260322501.

It is a super-2 number, since 2×10522306242 = 2214378572166858752, which contains 22 as substring.

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, 147459 + ... + 154429.

It is an arithmetic number, because the mean of its divisors is an integer number (44472645).

Almost surely, 21052230624 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 1052230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067343480).

1052230624 is an abundant number, since it is smaller than the sum of its proper divisors (1082456336).

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

1052230624 is an equidigital number, since it uses as much as digits as its factorization.

1052230624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1052230624 is about 32438.1045068913. The cubic root of 1052230624 is about 1017.1155931697.

The spelling of 1052230624 in words is "one billion, fifty-two million, two hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 356 424 712 848 1424 1696 2848 4717 6971 9434 13942 18868 27884 37736 55768 75472 111536 150944 223072 369463 620419 738926 1240838 1477852 2481676 2955704 4963352 5911408 9926704 11822816 19853408 32882207 65764414 131528828 263057656 526115312 1052230624