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70864896 = 21237379
BaseRepresentation
bin1000011100101…
…01000000000000
311221100022100210
410032111000000
5121120134041
611010514120
71520225124
oct416250000
9157308323
1070864896
1137001933
121b895940
13118b23bb
1495a9584
15634c016
hex4395000

70864896 has 104 divisors (see below), whose sum is σ = 193962880. Its totient is φ = 23003136.

The previous prime is 70864883. The next prime is 70864901. The reversal of 70864896 is 69846807.

70864896 = T41 + T42 + ... + T751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896985 + ... + 897063.

Almost surely, 270864896 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 70864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96981440).

70864896 is an abundant number, since it is smaller than the sum of its proper divisors (123097984).

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

70864896 is an equidigital number, since it uses as much as digits as its factorization.

70864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 70864896 is about 8418.1290082773. The cubic root of 70864896 is about 413.8189597943.

The spelling of 70864896 in words is "seventy million, eight hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 79 96 128 146 158 192 219 237 256 292 316 384 438 474 512 584 632 768 876 948 1024 1168 1264 1536 1752 1896 2048 2336 2528 3072 3504 3792 4096 4672 5056 5767 6144 7008 7584 9344 10112 11534 12288 14016 15168 17301 18688 20224 23068 28032 30336 34602 37376 40448 46136 56064 60672 69204 74752 80896 92272 112128 121344 138408 149504 161792 184544 224256 242688 276816 299008 323584 369088 448512 485376 553632 738176 897024 970752 1107264 1476352 2214528 2952704 4429056 5905408 8858112 11810816 17716224 23621632 35432448 70864896