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2075432472 = 2332192775477
BaseRepresentation
bin111101110110100…
…1001011000011000
312100122021220010100
41323231021120120
513222302314342
6541535415400
7102300612351
oct17355113030
95318256110
102075432472
11975589153
1249b084560
13270c98769
141598d2d28
15c2312e4c
hex7bb49618

2075432472 has 96 divisors (see below), whose sum is σ = 5939247600. Its totient is φ = 652914432.

The previous prime is 2075432449. The next prime is 2075432479. The reversal of 2075432472 is 2742345702.

It is a happy number.

2075432472 is a `hidden beast` number, since 20 + 7 + 543 + 24 + 72 = 666.

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 (2075432479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376198 + ... + 381674.

Almost surely, 22075432472 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 2075432472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969623800).

2075432472 is an abundant number, since it is smaller than the sum of its proper divisors (3863815128).

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

2075432472 is a wasteful number, since it uses less digits than its factorization.

2075432472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2075432472 is about 45556.9146453093. The cubic root of 2075432472 is about 1275.5658074670.

The spelling of 2075432472 in words is "two billion, seventy-five million, four hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 277 342 456 554 684 831 1108 1368 1662 2216 2493 3324 4986 5263 5477 6648 9972 10526 10954 15789 16431 19944 21052 21908 31578 32862 42104 43816 47367 49293 63156 65724 94734 98586 104063 126312 131448 189468 197172 208126 312189 378936 394344 416252 624378 832504 936567 1248756 1517129 1873134 2497512 3034258 3746268 4551387 6068516 7492536 9102774 12137032 13654161 18205548 27308322 28825451 36411096 54616644 57650902 86476353 109233288 115301804 172952706 230603608 259429059 345905412 518858118 691810824 1037716236 2075432472