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70078464 = 212321901
BaseRepresentation
bin1000010110101…
…01000000000000
311212212100120200
410023111000000
5120420002324
610542005200
71510441251
oct413250000
9155770520
1070078464
1136614a95
121b576800
1311698461
149442b28
156243ec9
hex42d5000

70078464 has 78 divisors (see below), whose sum is σ = 202530666. Its totient is φ = 23347200.

The previous prime is 70078429. The next prime is 70078483. The reversal of 70078464 is 46487007.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 24920064 = 6720^2 + 4992^2 .

It is a super-2 number, since 2×700784642 = 9821982233198592, 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35914 + ... + 37814.

It is an arithmetic number, because the mean of its divisors is an integer number (2596547).

Almost surely, 270078464 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 70078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101265333).

70078464 is an abundant number, since it is smaller than the sum of its proper divisors (132452202).

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

70078464 is a wasteful number, since it uses less digits than its factorization.

70078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 70078464 is about 8371.2880729312. The cubic root of 70078464 is about 412.2824594002.

The spelling of 70078464 in words is "seventy million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1901 2048 2304 3072 3802 4096 4608 5703 6144 7604 9216 11406 12288 15208 17109 18432 22812 30416 34218 36864 45624 60832 68436 91248 121664 136872 182496 243328 273744 364992 486656 547488 729984 973312 1094976 1459968 1946624 2189952 2919936 3893248 4379904 5839872 7786496 8759808 11679744 17519616 23359488 35039232 70078464