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70248816 = 24331114783
BaseRepresentation
bin1000010111111…
…10100101110000
311220012000021000
410023332211300
5120440430231
610545402000
71512051021
oct413764560
9156160230
1070248816
1136720a80
121b639300
1311727b61
149488c48
1562796e6
hex42fe970

70248816 has 80 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 21286080.

The previous prime is 70248803. The next prime is 70248839. The reversal of 70248816 is 61884207.

It is a super-2 number, since 2×702488162 = 9869792298803712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2640 + ... + 12143.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 270248816 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 70248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

70248816 is an abundant number, since it is smaller than the sum of its proper divisors (149737104).

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

70248816 is a wasteful number, since it uses less digits than its factorization.

70248816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811 (or 14799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 70248816 is about 8381.4566753041. The cubic root of 70248816 is about 412.6162581401.

The spelling of 70248816 in words is "seventy million, two hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 14783 29566 44349 59132 88698 118264 133047 162613 177396 236528 266094 325226 354792 399141 487839 532188 650452 709584 798282 975678 1064376 1300904 1463517 1596564 1951356 2128752 2601808 2927034 3193128 3902712 4390551 5854068 6386256 7805424 8781102 11708136 17562204 23416272 35124408 70248816