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70582272 = 2163359
BaseRepresentation
bin1000011010100…
…00000000000000
311220210221200020
410031100000000
5121032113042
611000453440
71514640135
oct415200000
9156727606
1070582272
1136929562
121b77a280
1311813877
14953458c
1562e33ec
hex4350000

70582272 has 68 divisors (see below), whose sum is σ = 188742240. Its totient is φ = 23461888.

The previous prime is 70582271. The next prime is 70582277. The reversal of 70582272 is 27228507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70582271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196429 + ... + 196787.

Almost surely, 270582272 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 70582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94371120).

70582272 is an abundant number, since it is smaller than the sum of its proper divisors (118159968).

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

70582272 is an frugal number, since it uses more digits than its factorization.

70582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 70582272 is about 8401.3256096880. The cubic root of 70582272 is about 413.2680946868.

The spelling of 70582272 in words is "seventy million, five hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 512 718 768 1024 1077 1436 1536 2048 2154 2872 3072 4096 4308 5744 6144 8192 8616 11488 12288 16384 17232 22976 24576 32768 34464 45952 49152 65536 68928 91904 98304 137856 183808 196608 275712 367616 551424 735232 1102848 1470464 2205696 2940928 4411392 5881856 8822784 11763712 17645568 23527424 35291136 70582272