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70582416 = 24319193401
BaseRepresentation
bin1000011010100…
…00000010010000
311220210221212120
410031100002100
5121032114131
611000454240
71514640432
oct415200220
9156727776
1070582416
1136929683
121b77a380
1311813958
149534652
1562e3496
hex4350090

70582416 has 80 divisors (see below), whose sum is σ = 193410240. Its totient is φ = 22118400.

The previous prime is 70582411. The next prime is 70582427. The reversal of 70582416 is 61428507.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (70582411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175816 + ... + 176216.

It is an arithmetic number, because the mean of its divisors is an integer number (2417628).

Almost surely, 270582416 is an apocalyptic number.

70582416 is a gapful number since it is divisible by the number (76) 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 70582416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96705120).

70582416 is an abundant number, since it is smaller than the sum of its proper divisors (122827824).

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

70582416 is a wasteful number, since it uses less digits than its factorization.

70582416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 70582416 is about 8401.3341797598. The cubic root of 70582416 is about 413.2683757327.

The spelling of 70582416 in words is "seventy million, five hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 401 456 579 772 802 912 1158 1203 1544 1604 2316 2406 3088 3208 3667 4632 4812 6416 7334 7619 9264 9624 11001 14668 15238 19248 22002 22857 29336 30476 44004 45714 58672 60952 77393 88008 91428 121904 154786 176016 182856 232179 309572 365712 464358 619144 928716 1238288 1470467 1857432 2940934 3714864 4411401 5881868 8822802 11763736 17645604 23527472 35291208 70582416