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70882616 = 23721931307
BaseRepresentation
bin1000011100110…
…01010100111000
311221101012200002
410032121110320
5121121220431
611011132132
71520330600
oct416312470
9157335602
1070882616
1137014182
121b8a4048
13118ba49c
1495b1c00
1563523cb
hex4399538

70882616 has 96 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 27760320.

The previous prime is 70882613. The next prime is 70882621. The reversal of 70882616 is 61628807.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 70882616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70882613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230735 + ... + 231041.

It is an arithmetic number, because the mean of its divisors is an integer number (1755600).

Almost surely, 270882616 is an apocalyptic number.

70882616 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 70882616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84268800).

70882616 is an abundant number, since it is smaller than the sum of its proper divisors (97654984).

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

70882616 is a wasteful number, since it uses less digits than its factorization.

70882616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 70882616 is about 8419.1814328948. The cubic root of 70882616 is about 413.8534491831.

The spelling of 70882616 in words is "seventy million, eight hundred eighty-two thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 307 392 434 532 589 614 868 931 1064 1178 1228 1519 1736 1862 2149 2356 2456 3038 3724 4123 4298 4712 5833 6076 7448 8246 8596 9517 11666 12152 15043 16492 17192 19034 23332 28861 30086 32984 38068 40831 46664 57722 60172 66619 76136 81662 115444 120344 133238 163324 180823 230888 266476 285817 326648 361646 466333 532952 571634 723292 932666 1143268 1265761 1446584 1865332 2286536 2531522 3730664 5063044 8860327 10126088 17720654 35441308 70882616