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428070708 = 2232134012281
BaseRepresentation
bin11001100000111…
…101011100110100
31002211111020121200
4121200331130310
51334041230313
6110251012500
713415353362
oct3140753464
91084436550
10428070708
111aa6a894a
12bb43a130
136a8bc3a0
1440bd0632
15278aab73
hex1983d734

428070708 has 72 divisors (see below), whose sum is σ = 1168721736. Its totient is φ = 131328000.

The previous prime is 428070677. The next prime is 428070737. The reversal of 428070708 is 807070824.

It can be written as a sum of positive squares in 4 ways, for example, as 132987024 + 295083684 = 11532^2 + 17178^2 .

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 23 ways as a sum of consecutive naturals, for example, 186528 + ... + 188808.

Almost surely, 2428070708 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 428070708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584360868).

428070708 is an abundant number, since it is smaller than the sum of its proper divisors (740651028).

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

428070708 is a wasteful number, since it uses less digits than its factorization.

428070708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 428070708 is about 20689.8696950947. The cubic root of 428070708 is about 753.6537023748.

The spelling of 428070708 in words is "four hundred twenty-eight million, seventy thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 2281 2406 3609 4562 4812 5213 6843 7218 9124 10426 13686 14436 15639 20529 20852 27372 29653 31278 41058 46917 59306 62556 82116 88959 93834 118612 177918 187668 266877 355836 533754 914681 1067508 1829362 2744043 3658724 5488086 8232129 10976172 11890853 16464258 23781706 32928516 35672559 47563412 71345118 107017677 142690236 214035354 428070708