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70448544 = 25321714389
BaseRepresentation
bin1000011001011…
…11010110100000
311220120011020100
410030233112200
5121013323134
610553542400
71513542225
oct414572640
9156504210
1070448544
1136848041
121b714a00
1311797a3a
1494db94c
1562b8999
hex432f5a0

70448544 has 72 divisors (see below), whose sum is σ = 212137380. Its totient is φ = 22099968.

The previous prime is 70448519. The next prime is 70448603. The reversal of 70448544 is 44584407.

70448544 is a `hidden beast` number, since 70 + 4 + 48 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 90000 = 8388^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70448499 and 70448508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2299 + ... + 12090.

Almost surely, 270448544 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 70448544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106068690).

70448544 is an abundant number, since it is smaller than the sum of its proper divisors (141688836).

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

70448544 is a wasteful number, since it uses less digits than its factorization.

70448544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 70448544 is about 8393.3630923486. The cubic root of 70448544 is about 413.0069315848.

The spelling of 70448544 in words is "seventy million, four hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 14389 28778 43167 57556 86334 115112 129501 172668 230224 244613 259002 345336 460448 489226 518004 690672 733839 978452 1036008 1381344 1467678 1956904 2072016 2201517 2935356 3913808 4144032 4403034 5870712 7827616 8806068 11741424 17612136 23482848 35224272 70448544