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1052069472 = 25385011
BaseRepresentation
bin111110101101010…
…100111001100000
32201022122200000000
4332231110321200
54123312210342
6252221300000
735033304636
oct7655247140
92638580000
101052069472
1149a958403
12254404600
13139c6b51c
149da23356
156256944c
hex3eb54e60

1052069472 has 108 divisors (see below), whose sum is σ = 3107354796. Its totient is φ = 350619840.

The previous prime is 1052069467. The next prime is 1052069477. The reversal of 1052069472 is 2749602501.

1052069472 is a `hidden beast` number, since 1 + 0 + 520 + 69 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1052069467) and next prime (1052069477).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×10520694722 = 2213700347828717568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052069477) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207447 + ... + 212457.

Almost surely, 21052069472 is an apocalyptic number.

1052069472 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 1052069472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553677398).

1052069472 is an abundant number, since it is smaller than the sum of its proper divisors (2055285324).

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

1052069472 is an frugal number, since it uses more digits than its factorization.

1052069472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1052069472 is about 32435.6204195326. The cubic root of 1052069472 is about 1017.0636658397.

The spelling of 1052069472 in words is "one billion, fifty-two million, sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5011 5832 6561 7776 8748 10022 11664 13122 15033 17496 20044 23328 26244 30066 34992 40088 45099 52488 60132 69984 80176 90198 104976 120264 135297 160352 180396 209952 240528 270594 360792 405891 481056 541188 721584 811782 1082376 1217673 1443168 1623564 2164752 2435346 3247128 3653019 4329504 4870692 6494256 7306038 9741384 10959057 12988512 14612076 19482768 21918114 29224152 32877171 38965536 43836228 58448304 65754342 87672456 116896608 131508684 175344912 263017368 350689824 526034736 1052069472