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70028288 = 210116217
BaseRepresentation
bin1000010110010…
…00110000000000
311212202210202022
410023020300000
5120411401123
610540541012
71510142051
oct413106000
9155683668
1070028288
1136590320
121b551768
131167b675
14942c728
1562341c8
hex42c8c00

70028288 has 44 divisors (see below), whose sum is σ = 152738952. Its totient is φ = 31825920.

The previous prime is 70028269. The next prime is 70028293. The reversal of 70028288 is 88282007.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×700282882 = 9807922240421888, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 8156 + ... + 14372.

Almost surely, 270028288 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 70028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76369476).

70028288 is an abundant number, since it is smaller than the sum of its proper divisors (82710664).

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

70028288 is a wasteful number, since it uses less digits than its factorization.

70028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 70028288 is about 8368.2906259283. The cubic root of 70028288 is about 412.1840381798.

The spelling of 70028288 in words is "seventy million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 6217 11264 12434 24868 49736 68387 99472 136774 198944 273548 397888 547096 795776 1094192 1591552 2188384 3183104 4376768 6366208 8753536 17507072 35014144 70028288