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70033896 = 23342337127
BaseRepresentation
bin1000010110010…
…10000111101000
311212210002110000
410023022013220
5120412041041
610541023000
71510164312
oct413120750
9155702400
1070033896
1136594559
121b554a60
131168109a
1494307b2
156235bb6
hex42ca1e8

70033896 has 160 divisors (see below), whose sum is σ = 211875840. Its totient is φ = 21555072.

The previous prime is 70033891. The next prime is 70033921. The reversal of 70033896 is 69833007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70033896.

It is not an unprimeable number, because it can be changed into a prime (70033891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 551385 + ... + 551511.

It is an arithmetic number, because the mean of its divisors is an integer number (1324224).

Almost surely, 270033896 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 70033896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105937920).

70033896 is an abundant number, since it is smaller than the sum of its proper divisors (141841944).

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

70033896 is a wasteful number, since it uses less digits than its factorization.

70033896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 70033896 is about 8368.6256936250. The cubic root of 70033896 is about 412.1950407163.

It can be divided in two parts, 700 and 33896, that added together give a square (34596 = 1862).

The spelling of 70033896 in words is "seventy million, thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 81 92 108 111 127 138 148 162 184 207 216 222 254 276 296 324 333 381 414 444 508 552 621 648 666 762 828 851 888 999 1016 1143 1242 1332 1524 1656 1702 1863 1998 2286 2484 2553 2664 2921 2997 3048 3404 3429 3726 3996 4572 4699 4968 5106 5842 5994 6808 6858 7452 7659 7992 8763 9144 9398 10212 10287 11684 11988 13716 14097 14904 15318 17526 18796 20424 20574 22977 23368 23976 26289 27432 28194 30636 35052 37592 41148 42291 45954 52578 56388 61272 68931 70104 78867 82296 84582 91908 105156 108077 112776 126873 137862 157734 169164 183816 210312 216154 236601 253746 275724 315468 324231 338328 380619 432308 473202 507492 551448 630936 648462 761238 864616 946404 972693 1014984 1296924 1522476 1892808 1945386 2593848 2918079 3044952 3890772 5836158 7781544 8754237 11672316 17508474 23344632 35016948 70033896