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71402448 = 243131753127
BaseRepresentation
bin1000100000110…
…00001111010000
311222100121202010
410100120033100
5121234334243
611030222520
71524624255
oct420301720
9158317663
1071402448
1137339797
121bab4a40
1311a3cc90
1496a942c
156406433
hex44183d0

71402448 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 20127744.

The previous prime is 71402423. The next prime is 71402459. The reversal of 71402448 is 84420417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562161 + ... + 562287.

Almost surely, 271402448 is an apocalyptic number.

71402448 is a gapful number since it is divisible by the number (78) 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 71402448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

71402448 is an abundant number, since it is smaller than the sum of its proper divisors (144583728).

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

71402448 is a wasteful number, since it uses less digits than its factorization.

71402448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 71402448 is about 8449.9969230764. The cubic root of 71402448 is about 414.8626787157.

The spelling of 71402448 in words is "seventy-one million, four hundred two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 53 68 78 102 104 106 127 136 156 159 204 208 212 221 254 272 312 318 381 408 424 442 508 624 636 663 689 762 816 848 884 901 1016 1272 1326 1378 1524 1651 1768 1802 2032 2067 2159 2544 2652 2703 2756 3048 3302 3536 3604 4134 4318 4953 5304 5406 5512 6096 6477 6604 6731 7208 8268 8636 9906 10608 10812 11024 11713 12954 13208 13462 14416 16536 17272 19812 20193 21624 23426 25908 26416 26924 28067 33072 34544 35139 39624 40386 43248 46852 51816 53848 56134 70278 79248 80772 84201 87503 93704 103632 107696 112268 114427 140556 161544 168402 175006 187408 224536 228854 262509 281112 323088 336804 343281 350012 449072 457708 525018 562224 673608 686562 700024 915416 1050036 1347216 1373124 1400048 1487551 1830832 2100072 2746248 2975102 4200144 4462653 5492496 5950204 8925306 11900408 17850612 23800816 35701224 71402448