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2452031472 = 24311192310627
BaseRepresentation
bin1001001000100111…
…0000011111110000
320022212221002211110
42102021300133300
520010210001342
61043151313320
7114522631542
oct22211603760
96285832743
102452031472
1110491205a0
1258521b840
133010058c7
14193925692
15e5402c9c
hex922707f0

2452031472 has 160 divisors (see below), whose sum is σ = 7590942720. Its totient is φ = 673263360.

The previous prime is 2452031471. The next prime is 2452031473. The reversal of 2452031472 is 2741302542.

It is an interprime number because it is at equal distance from previous prime (2452031471) and next prime (2452031473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452031471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225423 + ... + 236049.

It is an arithmetic number, because the mean of its divisors is an integer number (47443392).

Almost surely, 22452031472 is an apocalyptic number.

2452031472 is a gapful number since it is divisible by the number (22) 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 2452031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795471360).

2452031472 is an abundant number, since it is smaller than the sum of its proper divisors (5138911248).

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

2452031472 is a wasteful number, since it uses less digits than its factorization.

2452031472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2452031472 is about 49517.9913970670. The cubic root of 2452031472 is about 1348.4722492502.

The spelling of 2452031472 in words is "two billion, four hundred fifty-two million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 132 138 152 176 184 209 228 253 264 276 304 368 418 437 456 506 528 552 627 759 836 874 912 1012 1104 1254 1311 1518 1672 1748 2024 2508 2622 3036 3344 3496 4048 4807 5016 5244 6072 6992 9614 10032 10488 10627 12144 14421 19228 20976 21254 28842 31881 38456 42508 57684 63762 76912 85016 115368 116897 127524 170032 201913 230736 233794 244421 255048 350691 403826 467588 488842 510096 605739 701382 733263 807652 935176 977684 1211478 1402764 1466526 1615304 1870352 1955368 2221043 2422956 2688631 2805528 2933052 3230608 3910736 4442086 4643999 4845912 5377262 5611056 5866104 6663129 8065893 8884172 9287998 9691824 10754524 11732208 13326258 13931997 16131786 17768344 18575996 21509048 26652516 27863994 32263572 35536688 37151992 43018096 51083989 53305032 55727988 64527144 74303984 102167978 106610064 111455976 129054288 153251967 204335956 222911952 306503934 408671912 613007868 817343824 1226015736 2452031472