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70248192 = 283773179
BaseRepresentation
bin1000010111111…
…10011100000000
311220011222101220
410023332130000
5120440420232
610545355040
71512046140
oct413763400
9156158356
1070248192
1136720563
121b638a80
13117277a1
149488920
15627942c
hex42fe700

70248192 has 144 divisors (see below), whose sum is σ = 217808640. Its totient is φ = 19685376.

The previous prime is 70248169. The next prime is 70248223. The reversal of 70248192 is 29184207.

It is a happy number.

It is a congruent number.

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, 392359 + ... + 392537.

It is an arithmetic number, because the mean of its divisors is an integer number (1512560).

Almost surely, 270248192 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 70248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108904320).

70248192 is an abundant number, since it is smaller than the sum of its proper divisors (147560448).

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

70248192 is a wasteful number, since it uses less digits than its factorization.

70248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 70248192 is about 8381.4194501886. The cubic root of 70248192 is about 412.6150364193.

The spelling of 70248192 in words is "seventy million, two hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 179 192 219 224 256 292 336 358 384 438 448 511 537 584 672 716 768 876 896 1022 1074 1168 1253 1344 1432 1533 1752 1792 2044 2148 2336 2506 2688 2864 3066 3504 3759 4088 4296 4672 5012 5376 5728 6132 7008 7518 8176 8592 9344 10024 11456 12264 13067 14016 15036 16352 17184 18688 20048 22912 24528 26134 28032 30072 32704 34368 39201 40096 45824 49056 52268 56064 60144 65408 68736 78402 80192 91469 98112 104536 120288 130816 137472 156804 160384 182938 196224 209072 240576 274407 313608 320768 365876 392448 418144 481152 548814 627216 731752 836288 962304 1097628 1254432 1463504 1672576 2195256 2508864 2927008 3345152 4390512 5017728 5854016 8781024 10035456 11708032 17562048 23416064 35124096 70248192