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70242048 = 283243709
BaseRepresentation
bin1000010111111…
…00111100000000
311220011122222100
410023330330000
5120440221143
610545310400
71512022212
oct413747400
9156148870
1070242048
1136716988
121b635400
1311724a56
1494865b2
1562776d3
hex42fcf00

70242048 has 108 divisors (see below), whose sum is σ = 207527320. Its totient is φ = 22837248.

The previous prime is 70242047. The next prime is 70242059. The reversal of 70242048 is 84024207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70242041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98718 + ... + 99426.

Almost surely, 270242048 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 70242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103763660).

70242048 is an abundant number, since it is smaller than the sum of its proper divisors (137285272).

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

70242048 is a wasteful number, since it uses less digits than its factorization.

70242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 70242048 is about 8381.0529171459. The cubic root of 70242048 is about 412.6030067826.

The spelling of 70242048 in words is "seventy million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 709 768 774 1032 1152 1376 1418 1548 2064 2127 2304 2752 2836 3096 4128 4254 5504 5672 6192 6381 8256 8508 11008 11344 12384 12762 16512 17016 22688 24768 25524 30487 33024 34032 45376 49536 51048 60974 68064 90752 91461 99072 102096 121948 136128 181504 182922 204192 243896 272256 274383 365844 408384 487792 544512 548766 731688 816768 975584 1097532 1463376 1633536 1951168 2195064 2926752 3902336 4390128 5853504 7804672 8780256 11707008 17560512 23414016 35121024 70242048