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84290448 = 24311263607
BaseRepresentation
bin1010000011000…
…10101110010000
312212121101202110
411001202232100
5133034243243
612210345320
72042312514
oct501425620
9185541673
1084290448
1143641730
122428b240
1314603208
14b2a2144
1575eee33
hex5062b90

84290448 has 80 divisors (see below), whose sum is σ = 238841856. Its totient is φ = 25403520.

The previous prime is 84290431. The next prime is 84290467. The reversal of 84290448 is 84409248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138561 + ... + 139167.

Almost surely, 284290448 is an apocalyptic number.

84290448 is a gapful number since it is divisible by the number (88) 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 84290448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

84290448 is an abundant number, since it is smaller than the sum of its proper divisors (154551408).

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

84290448 is a wasteful number, since it uses less digits than its factorization.

84290448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 84290448 is about 9180.9829539108. The cubic root of 84290448 is about 438.4561041825.

The spelling of 84290448 in words is "eighty-four million, two hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 263 264 526 528 607 789 1052 1214 1578 1821 2104 2428 2893 3156 3642 4208 4856 5786 6312 6677 7284 8679 9712 11572 12624 13354 14568 17358 20031 23144 26708 29136 34716 40062 46288 53416 69432 80124 106832 138864 159641 160248 319282 320496 478923 638564 957846 1277128 1756051 1915692 2554256 3512102 3831384 5268153 7024204 7662768 10536306 14048408 21072612 28096816 42145224 84290448